91604880 has 120 divisors (see below), whose sum is σ = 314301312. Its totient is φ = 23899392.

The previous prime is 91604873. The next prime is 91604893. The reversal of 91604880 is 8840619.

It is a happy number.

91604880 is a nontrivial binomial coefficient, being equal to C(13536, 2).

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32487 + ... + 35193.

Almost surely, 2^91604880 is an apocalyptic number.

91604880 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

91604880 is the 13535-th triangular number and also the 6768-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91604880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157150656).

91604880 is an abundant number, since it is smaller than the sum of its proper divisors (222696432).

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

91604880 is a wasteful number, since it uses less digits than its factorization.

91604880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2773 (or 2764 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 91604880 is about 9571.0438302204. The cubic root of 91604880 is about 450.7885433397.

The spelling of 91604880 in words is "ninety-one million, six hundred four thousand, eight hundred eighty".