91853952 has 64 divisors (see below), whose sum is σ = 245216160. Its totient is φ = 30464000.

The previous prime is 91853917. The next prime is 91853969. The reversal of 91853952 is 25935819.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 95908 + ... + 96860.

Almost surely, 2^91853952 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 91853952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122608080).

91853952 is an abundant number, since it is smaller than the sum of its proper divisors (153362208).

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

91853952 is a wasteful number, since it uses less digits than its factorization.

91853952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1221 (or 1209 counting only the distinct ones).

The product of its digits is 97200, while the sum is 42.

The square root of 91853952 is about 9584.0467444603. The cubic root of 91853952 is about 451.1967355531.

The spelling of 91853952 in words is "ninety-one million, eight hundred fifty-three thousand, nine hundred fifty-two".