91163952 has 120 divisors (see below), whose sum is σ = 282809280. Its totient is φ = 27181440.

The previous prime is 91163923. The next prime is 91163959. The reversal of 91163952 is 25936119.

91163952 is a `hidden beast` number, since 9 + 11 + 639 + 5 + 2 = 666.

It is a super-2 number, since 2×91163952² = 16621732288516608, 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 (91163959) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 105699 + ... + 106557.

It is an arithmetic number, because the mean of its divisors is an integer number (2356744).

Almost surely, 2^91163952 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 91163952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141404640).

91163952 is an abundant number, since it is smaller than the sum of its proper divisors (191645328).

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

91163952 is a wasteful number, since it uses less digits than its factorization.

91163952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 951 (or 942 counting only the distinct ones).

The product of its digits is 14580, while the sum is 36.

The square root of 91163952 is about 9547.9815668025. The cubic root of 91163952 is about 450.0641093847.

The spelling of 91163952 in words is "ninety-one million, one hundred sixty-three thousand, nine hundred fifty-two".