993792960 has 84 divisors (see below), whose sum is σ = 3418243608. Its totient is φ = 265010688.

The previous prime is 993792959. The next prime is 993792971. The reversal of 993792960 is 69297399.

It is a junction number, because it is equal to n+sod(n) for n = 993792897 and 993792906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 169654 + ... + 175413.

Almost surely, 2^993792960 is an apocalyptic number.

993792960 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

993792960 is an abundant number, since it is smaller than the sum of its proper divisors (2424450648).

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

993792960 is a wasteful number, since it uses less digits than its factorization.

993792960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345090 (or 345077 counting only the distinct ones).

The product of its (nonzero) digits is 1653372, while the sum is 54.

The square root of 993792960 is about 31524.4819148547. The cubic root of 993792960 is about 997.9266910274.

The spelling of 993792960 in words is "nine hundred ninety-three million, seven hundred ninety-two thousand, nine hundred sixty".