91652256 has 192 divisors, whose sum is σ = 284981760. Its totient is φ = 28615680.

The previous prime is 91652243. The next prime is 91652279. The reversal of 91652256 is 65225619.

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

Its product of digits (32400) is a multiple of the sum of its prime divisors (150).

It is a self number, because there is not a number n which added to its sum of digits gives 91652256.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1502466 + ... + 1502526.

It is an arithmetic number, because the mean of its divisors is an integer number (1484280).

Almost surely, 2^91652256 is an apocalyptic number.

91652256 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91652256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142490880).

91652256 is an abundant number, since it is smaller than the sum of its proper divisors (193329504).

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

91652256 is a wasteful number, since it uses less digits than its factorization.

91652256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 150 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The square root of 91652256 is about 9573.5184754614. The cubic root of 91652256 is about 450.8662425386.

91652256 divided by its sum of digits (36) gives a triangular number (2545896 = T₂₂₅₆).

The spelling of 91652256 in words is "ninety-one million, six hundred fifty-two thousand, two hundred fifty-six".