93364992 has 162 divisors, whose sum is σ = 313523028. Its totient is φ = 26643456.

The previous prime is 93364991. The next prime is 93365009. The reversal of 93364992 is 29946339.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (93364991) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 112483 + ... + 113309.

Almost surely, 2^93364992 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 93364992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156761514).

93364992 is an abundant number, since it is smaller than the sum of its proper divisors (220158036).

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

93364992 is a wasteful number, since it uses less digits than its factorization.

93364992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 863 (or 839 counting only the distinct ones).

The product of its digits is 314928, while the sum is 45.

The square root of 93364992 is about 9662.5561835365. The cubic root of 93364992 is about 453.6574230001.

It can be divided in two parts, 93 and 364992, that added together give a triangular number (365085 = T₈₅₄).

The spelling of 93364992 in words is "ninety-three million, three hundred sixty-four thousand, nine hundred ninety-two".