91653264 has 120 divisors (see below), whose sum is σ = 273072800. Its totient is φ = 28615680.

The previous prime is 91653251. The next prime is 91653269. The reversal of 91653264 is 46235619.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (91653269) 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 23 ways as a sum of consecutive naturals, for example, 380184 + ... + 380424.

Almost surely, 2^91653264 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 91653264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136536400).

91653264 is an abundant number, since it is smaller than the sum of its proper divisors (181419536).

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

91653264 is a wasteful number, since it uses less digits than its factorization.

91653264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 404 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 91653264 is about 9573.5711205380. The cubic root of 91653264 is about 450.8678954221.

The spelling of 91653264 in words is "ninety-one million, six hundred fifty-three thousand, two hundred sixty-four".