91496448 has 168 divisors, whose sum is σ = 283688028. Its totient is φ = 28311552.

The previous prime is 91496441. The next prime is 91496459. The reversal of 91496448 is 84469419.

It can be written as a sum of positive squares in 2 ways, for example, as 88510464 + 2985984 = 9408^2 + 1728^2 .

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (91496441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1253340 + ... + 1253412.

Almost surely, 2^91496448 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 91496448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141844014).

91496448 is an abundant number, since it is smaller than the sum of its proper divisors (192191580).

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

91496448 is a wasteful number, since it uses less digits than its factorization.

91496448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 95 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 91496448 is about 9565.3775670383. The cubic root of 91496448 is about 450.6106081239.

The spelling of 91496448 in words is "ninety-one million, four hundred ninety-six thousand, four hundred forty-eight".