992943120 has 320 divisors, whose sum is σ = 3518774784. Its totient is φ = 229785600.

The previous prime is 992943101. The next prime is 992943169. The reversal of 992943120 is 21349299.

It is a Cunningham number, because it is equal to 31511²-1.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7247692 + ... + 7247828.

Almost surely, 2^992943120 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 992943120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1759387392).

992943120 is an abundant number, since it is smaller than the sum of its proper divisors (2525831664).

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

992943120 is a wasteful number, since it uses less digits than its factorization.

992943120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 39.

The square root of 992943120 is about 31510.9999841325. Note that the first 4 decimals coincide. The cubic root of 992943120 is about 997.6421515870.

The spelling of 992943120 in words is "nine hundred ninety-two million, nine hundred forty-three thousand, one hundred twenty".