91995120 has 120 divisors (see below), whose sum is σ = 353105376. Its totient is φ = 21026304.

The previous prime is 91995097. The next prime is 91995139. The reversal of 91995120 is 2159919.

It is a tau number, because it is divible by the number of its divisors (120).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4087 + ... + 14166.

Almost surely, 2^91995120 is an apocalyptic number.

91995120 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 91995120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176552688).

91995120 is an abundant number, since it is smaller than the sum of its proper divisors (261110256).

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

91995120 is a wasteful number, since it uses less digits than its factorization.

91995120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18279 (or 18270 counting only the distinct ones).

The product of its (nonzero) digits is 7290, while the sum is 36.

The square root of 91995120 is about 9591.4086556668. The cubic root of 91995120 is about 451.4277614989.

The spelling of 91995120 in words is "ninety-one million, nine hundred ninety-five thousand, one hundred twenty".