979392672 has 144 divisors (see below), whose sum is σ = 2896927488. Its totient is φ = 313528320.

The previous prime is 979392649. The next prime is 979392719. The reversal of 979392672 is 276293979.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1454928 + ... + 1455600.

It is an arithmetic number, because the mean of its divisors is an integer number (20117552).

Almost surely, 2^979392672 is an apocalyptic number.

979392672 is the 15648-th decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 979392672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1448463744).

979392672 is an abundant number, since it is smaller than the sum of its proper divisors (1917534816).

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

979392672 is a wasteful number, since it uses less digits than its factorization.

979392672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 883 (or 872 counting only the distinct ones).

The product of its digits is 2571912, while the sum is 54.

The square root of 979392672 is about 31295.2499910130. The cubic root of 979392672 is about 993.0831582740.

The spelling of 979392672 in words is "nine hundred seventy-nine million, three hundred ninety-two thousand, six hundred seventy-two".