91611648 has 150 divisors (see below), whose sum is σ = 279378231. Its totient is φ = 29887488.

The previous prime is 91611647. The next prime is 91611649. The reversal of 91611648 is 84611619.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

91611648 is a `hidden beast` number, since 9 + 1 + 6 + 1 + 1 + 648 = 666.

It is an interprime number because it is at equal distance from previous prime (91611647) and next prime (91611649).

It can be written as a sum of positive squares in only one way, i.e., 45805824 + 45805824 = 6768^2 + 6768^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=6768.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (91611643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1949161 + ... + 1949207.

Almost surely, 2^91611648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91611648

91611648 is an abundant number, since it is smaller than the sum of its proper divisors (187766583).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

91611648 is an frugal number, since it uses more digits than its factorization.

91611648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 52 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

The square root of 91611648 is about 9571.3973901411. The cubic root of 91611648 is about 450.7996448652.

Multiplying 91611648 by its product of digits (10368), we get a square (949829566464 = 974592²).

91611648 divided by its product of digits (10368) gives a square (8836 = 94²).

The spelling of 91611648 in words is "ninety-one million, six hundred eleven thousand, six hundred forty-eight".