93921792 has 80 divisors (see below), whose sum is σ = 255733632. Its totient is φ = 30617600.

The previous prime is 93921791. The next prime is 93921823. The reversal of 93921792 is 29712939.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (93921791) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71542 + ... + 72842.

Almost surely, 2^93921792 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 93921792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127866816).

93921792 is an abundant number, since it is smaller than the sum of its proper divisors (161811840).

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

93921792 is a wasteful number, since it uses less digits than its factorization.

93921792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1369 (or 1353 counting only the distinct ones).

The product of its digits is 61236, while the sum is 42.

The square root of 93921792 is about 9691.3256059220. The cubic root of 93921792 is about 454.5574604732.

The spelling of 93921792 in words is "ninety-three million, nine hundred twenty-one thousand, seven hundred ninety-two".