976834560 has 208 divisors, whose sum is σ = 3368663424. Its totient is φ = 240254976.

The previous prime is 976834519. The next prime is 976834561. The reversal of 976834560 is 65438679.

It is a tau number, because it is divible by the number of its divisors (208).

It is a super-2 number, since 2×976834560² = 1908411515220787200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (976834561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 798109 + ... + 799331.

Almost surely, 2^976834560 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 976834560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1684331712).

976834560 is an abundant number, since it is smaller than the sum of its proper divisors (2391828864).

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

976834560 is a wasteful number, since it uses less digits than its factorization.

976834560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1268 (or 1246 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The square root of 976834560 is about 31254.3526568701. The cubic root of 976834560 is about 992.2177808362.

The spelling of 976834560 in words is "nine hundred seventy-six million, eight hundred thirty-four thousand, five hundred sixty".