92536992 has 120 divisors (see below), whose sum is σ = 286624800. Its totient is φ = 29206656.

The previous prime is 92536987. The next prime is 92537009. The reversal of 92536992 is 29963529.

It is a super-3 number, since 3×92536992³ (a number of 25 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 48309 + ... + 50187.

It is an arithmetic number, because the mean of its divisors is an integer number (2388540).

Almost surely, 2^92536992 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 92536992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143312400).

92536992 is an abundant number, since it is smaller than the sum of its proper divisors (194087808).

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

92536992 is a wasteful number, since it uses less digits than its factorization.

92536992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1920 (or 1903 counting only the distinct ones).

The product of its digits is 262440, while the sum is 45.

The square root of 92536992 is about 9619.6149611094. The cubic root of 92536992 is about 452.3123640308.

It can be divided in two parts, 92536 and 992, that added together give a triangular number (93528 = T₄₃₂).

The spelling of 92536992 in words is "ninety-two million, five hundred thirty-six thousand, nine hundred ninety-two".