992712960 has 432 divisors, whose sum is σ = 3762276336. Its totient is φ = 240648192.

The previous prime is 992712871. The next prime is 992712961. The reversal of 992712960 is 69217299.

992712960 is a `hidden beast` number, since 99 + 271 + 296 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 115605504 + 877107456 = 10752^2 + 29616^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (992712961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7246012 + ... + 7246148.

It is an arithmetic number, because the mean of its divisors is an integer number (8708973).

Almost surely, 2^992712960 is an apocalyptic number.

992712960 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 992712960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1881138168).

992712960 is an abundant number, since it is smaller than the sum of its proper divisors (2769563376).

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

992712960 is a wasteful number, since it uses less digits than its factorization.

992712960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The square root of 992712960 is about 31507.3477144618. The cubic root of 992712960 is about 997.5650625585.

The spelling of 992712960 in words is "nine hundred ninety-two million, seven hundred twelve thousand, nine hundred sixty".