91264 has 32 divisors (see below), whose sum is σ = 195840. Its totient is φ = 42240.

The previous prime is 91253. The next prime is 91283. The reversal of 91264 is 46219.

91264 is nontrivially palindromic in base 7.

It is a tau number, because it is divible by the number of its divisors (32).

It is an Ulam number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2929 + ... + 2959.

It is an arithmetic number, because the mean of its divisors is an integer number (6120).

2⁹¹²⁶⁴ 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 91264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97920).

91264 is an abundant number, since it is smaller than the sum of its proper divisors (104576).

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

91264 is a wasteful number, since it uses less digits than its factorization.

91264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 56 counting only the distinct ones).

The product of its digits is 432, while the sum is 22.

The square root of 91264 is about 302.0993214160. The cubic root of 91264 is about 45.0228690344.

The spelling of 91264 in words is "ninety-one thousand, two hundred sixty-four".