976560 has 80 divisors (see below), whose sum is σ = 3270624. Its totient is φ = 239616.

The previous prime is 976559. The next prime is 976561. The reversal of 976560 is 65679.

It is an interprime number because it is at equal distance from previous prime (976559) and next prime (976561).

It is a tau number, because it is divible by the number of its divisors (80).

It is a nialpdrome in base 5.

It is not an unprimeable number, because it can be changed into a prime (976561) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2964 + ... + 3276.

2⁹⁷⁶⁵⁶⁰ 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 976560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1635312).

976560 is an abundant number, since it is smaller than the sum of its proper divisors (2294064).

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

976560 is a wasteful number, since it uses less digits than its factorization.

976560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 33.

The square root of 976560 is about 988.2105038907. The cubic root of 976560 is about 99.2124810866.

The spelling of 976560 in words is "nine hundred seventy-six thousand, five hundred sixty".