91164960 has 192 divisors, whose sum is σ = 326592000. Its totient is φ = 23740416.

The previous prime is 91164947. The next prime is 91164961. The reversal of 91164960 is 6946119.

91164960 is a `hidden beast` number, since 9 + 1 + 1 + 649 + 6 + 0 = 666.

It is a super-2 number, since 2×91164960² = 16622099863603200, which contains 22 as substring.

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 (91164961) 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 31 ways as a sum of consecutive naturals, for example, 202816 + ... + 203264.

It is an arithmetic number, because the mean of its divisors is an integer number (1701000).

Almost surely, 2^91164960 is an apocalyptic number.

91164960 is a gapful number since it is divisible by the number (90) 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 91164960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163296000).

91164960 is an abundant number, since it is smaller than the sum of its proper divisors (235427040).

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

91164960 is a wasteful number, since it uses less digits than its factorization.

91164960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 91164960 is about 9548.0343526822. The cubic root of 91164960 is about 450.0657681652.

The spelling of 91164960 in words is "ninety-one million, one hundred sixty-four thousand, nine hundred sixty".