92874720 has 96 divisors (see below), whose sum is σ = 294446880. Its totient is φ = 24606720.

The previous prime is 92874707. The next prime is 92874767. The reversal of 92874720 is 2747829.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×92874720³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86346 + ... + 87414.

It is an arithmetic number, because the mean of its divisors is an integer number (3067155).

Almost surely, 2^92874720 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 92874720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147223440).

92874720 is an abundant number, since it is smaller than the sum of its proper divisors (201572160).

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

92874720 is a wasteful number, since it uses less digits than its factorization.

92874720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1268 (or 1260 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

The square root of 92874720 is about 9637.1531065974. The cubic root of 92874720 is about 452.8619571685.

The spelling of 92874720 in words is "ninety-two million, eight hundred seventy-four thousand, seven hundred twenty".