91166256 has 160 divisors (see below), whose sum is σ = 285696000. Its totient is φ = 27724032.

The previous prime is 91166233. The next prime is 91166279. The reversal of 91166256 is 65266119.

It is an interprime number because it is at equal distance from previous prime (91166233) and next prime (91166279).

It is a super-2 number, since 2×91166256² = 16622572466115072, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 91166256.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 237841 + ... + 238223.

It is an arithmetic number, because the mean of its divisors is an integer number (1785600).

Almost surely, 2^91166256 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 91166256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142848000).

91166256 is an abundant number, since it is smaller than the sum of its proper divisors (194529744).

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

91166256 is a wasteful number, since it uses less digits than its factorization.

91166256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 436 counting only the distinct ones).

The product of its digits is 19440, while the sum is 36.

The square root of 91166256 is about 9548.1022198131. The cubic root of 91166256 is about 450.0679008650.

The spelling of 91166256 in words is "ninety-one million, one hundred sixty-six thousand, two hundred fifty-six".