93920792 has 64 divisors (see below), whose sum is σ = 210124800. Its totient is φ = 38505600.

The previous prime is 93920779. The next prime is 93920797. The reversal of 93920792 is 29702939.

It is a super-2 number, since 2×93920792² = 17642230339814528, which contains 22 as substring.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93920797) 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, 245033 + ... + 245415.

It is an arithmetic number, because the mean of its divisors is an integer number (3283200).

Almost surely, 2^93920792 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 93920792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105062400).

93920792 is an abundant number, since it is smaller than the sum of its proper divisors (116204008).

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

93920792 is a wasteful number, since it uses less digits than its factorization.

93920792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 61236, while the sum is 41.

The square root of 93920792 is about 9691.2740132554. The cubic root of 93920792 is about 454.5558472194. Note that the first 3 decimals are identical.

The spelling of 93920792 in words is "ninety-three million, nine hundred twenty thousand, seven hundred ninety-two".