979554960 has 240 divisors, whose sum is σ = 3509775360. Its totient is φ = 243978240.

The previous prime is 979554931. The next prime is 979554967. The reversal of 979554960 is 69455979.

979554960 is a `hidden beast` number, since 9 + 7 + 95 + 549 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 979554897 and 979554906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (979554967) 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, 2337631 + ... + 2338049.

It is an arithmetic number, because the mean of its divisors is an integer number (14624064).

Almost surely, 2^979554960 is an apocalyptic number.

979554960 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 979554960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1754887680).

979554960 is an abundant number, since it is smaller than the sum of its proper divisors (2530220400).

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

979554960 is a wasteful number, since it uses less digits than its factorization.

979554960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 3061800, while the sum is 54.

The square root of 979554960 is about 31297.8427371600. The cubic root of 979554960 is about 993.1380074280.

The spelling of 979554960 in words is "nine hundred seventy-nine million, five hundred fifty-four thousand, nine hundred sixty".