91508144 has 80 divisors (see below), whose sum is σ = 231110208. Its totient is φ = 34062336.

The previous prime is 91508143. The next prime is 91508167. The reversal of 91508144 is 44180519.

It is a self number, because there is not a number n which added to its sum of digits gives 91508144.

It is not an unprimeable number, because it can be changed into a prime (91508143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22904 + ... + 26600.

Almost surely, 2^91508144 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 91508144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115555104).

91508144 is an abundant number, since it is smaller than the sum of its proper divisors (139602064).

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

91508144 is a wasteful number, since it uses less digits than its factorization.

91508144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3742 (or 3736 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 32.

The square root of 91508144 is about 9565.9889190820. The cubic root of 91508144 is about 450.6298078387.

The spelling of 91508144 in words is "ninety-one million, five hundred eight thousand, one hundred forty-four".