993940032 has 56 divisors (see below), whose sum is σ = 2744150976. Its totient is φ = 316907008.

The previous prime is 993939983. The next prime is 993940033. The reversal of 993940032 is 230049399.

It is a super-2 number, since 2×993940032² = 1975833574424322048, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (993940033) 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, 108123 + ... + 116954.

It is an arithmetic number, because the mean of its divisors is an integer number (49002696).

Almost surely, 2^993940032 is an apocalyptic number.

993940032 is a gapful number since it is divisible by the number (92) formed by its first and last digit.

It is an amenable number.

993940032 is an abundant number, since it is smaller than the sum of its proper divisors (1750210944).

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

993940032 is a wasteful number, since it uses less digits than its factorization.

993940032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225115 (or 225105 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 39.

The square root of 993940032 is about 31526.8144917941. The cubic root of 993940032 is about 997.9759165169.

The spelling of 993940032 in words is "nine hundred ninety-three million, nine hundred forty thousand, thirty-two".