975679360 has 64 divisors (see below), whose sum is σ = 2336407920. Its totient is φ = 389615616.

The previous prime is 975679217. The next prime is 975679361. The reversal of 975679360 is 63976579.

975679360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 975679298 and 975679307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (975679361) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 598867 + ... + 600493.

Almost surely, 2^975679360 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 975679360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1168203960).

975679360 is an abundant number, since it is smaller than the sum of its proper divisors (1360728560).

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

975679360 is a wasteful number, since it uses less digits than its factorization.

975679360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2583 (or 2571 counting only the distinct ones).

The product of its (nonzero) digits is 2143260, while the sum is 52.

The square root of 975679360 is about 31235.8665639358. The cubic root of 975679360 is about 991.8264958433.

The spelling of 975679360 in words is "nine hundred seventy-five million, six hundred seventy-nine thousand, three hundred sixty".