976464 has 30 divisors (see below), whose sum is σ = 2733146. Its totient is φ = 325440.

The previous prime is 976457. The next prime is 976471. The reversal of 976464 is 464679.

976464 is a `hidden beast` number, since 9 + 7 + 646 + 4 = 666.

976464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (976457) and next prime (976471).

It can be written as a sum of positive squares in only one way, i.e., 810000 + 166464 = 900^2 + 408^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 16.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 976464.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3247 + ... + 3534.

2⁹⁷⁶⁴⁶⁴ is an apocalyptic number.

It is an amenable number.

976464 is an abundant number, since it is smaller than the sum of its proper divisors (1756682).

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

976464 is a wasteful number, since it uses less digits than its factorization.

976464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6795 (or 6786 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 976464 is about 988.1619300499. The cubic root of 976464 is about 99.2092299771.

It can be divided in two parts, 97 and 6464, that added together give a 8-th power (6561 = 3⁸).

The spelling of 976464 in words is "nine hundred seventy-six thousand, four hundred sixty-four".