92874816 has 112 divisors (see below), whose sum is σ = 277246080. Its totient is φ = 30481920.

The previous prime is 92874811. The next prime is 92874827. The reversal of 92874816 is 61847829.

92874816 is a `hidden beast` number, since 92 + 87 + 481 + 6 = 666.

It is a super-3 number, since 3×92874816³ (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (92874811) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122310 + ... + 123066.

Almost surely, 2^92874816 is an apocalyptic number.

92874816 is a gapful number since it is divisible by the number (96) 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 92874816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138623040).

92874816 is an abundant number, since it is smaller than the sum of its proper divisors (184371264).

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

92874816 is a wasteful number, since it uses less digits than its factorization.

92874816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 849 (or 833 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 92874816 is about 9637.1580873201. The cubic root of 92874816 is about 452.8621132021.

The spelling of 92874816 in words is "ninety-two million, eight hundred seventy-four thousand, eight hundred sixteen".