979716960 has 144 divisors (see below), whose sum is σ = 3359013840. Its totient is φ = 260029440.

The previous prime is 979716949. The next prime is 979716967. The reversal of 979716960 is 69617979.

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 = 979716897 and 979716906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (979716967) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 328275 + ... + 331245.

It is an arithmetic number, because the mean of its divisors is an integer number (23326485).

Almost surely, 2^979716960 is an apocalyptic number.

979716960 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 979716960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1679506920).

979716960 is an abundant number, since it is smaller than the sum of its proper divisors (2379296880).

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

979716960 is a wasteful number, since it uses less digits than its factorization.

979716960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3221 (or 3210 counting only the distinct ones).

The product of its (nonzero) digits is 1285956, while the sum is 54.

The square root of 979716960 is about 31300.4306679637. The cubic root of 979716960 is about 993.1927532038.

The spelling of 979716960 in words is "nine hundred seventy-nine million, seven hundred sixteen thousand, nine hundred sixty".