992979360 has 144 divisors (see below), whose sum is σ = 3480311016. Its totient is φ = 257624064.

The previous prime is 992979347. The next prime is 992979371. The reversal of 992979360 is 63979299.

It can be written as a sum of positive squares in 4 ways, for example, as 673713936 + 319265424 = 25956^2 + 17868^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 992979297 and 992979306.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43962 + ... + 62598.

Almost surely, 2^992979360 is an apocalyptic number.

992979360 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 992979360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1740155508).

992979360 is an abundant number, since it is smaller than the sum of its proper divisors (2487331656).

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

992979360 is a wasteful number, since it uses less digits than its factorization.

992979360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18695 (or 18684 counting only the distinct ones).

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

The square root of 992979360 is about 31511.5750161746. The cubic root of 992979360 is about 997.6542886070.

The spelling of 992979360 in words is "nine hundred ninety-two million, nine hundred seventy-nine thousand, three hundred sixty".