976640 has 72 divisors (see below), whose sum is σ = 2698080. Its totient is φ = 331776.

The previous prime is 976639. The next prime is 976643. The reversal of 976640 is 46679.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a nialpdrome in base 10 and base 16.

It is a junction number, because it is equal to n+sod(n) for n = 976597 and 976606.

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 976640.

It is not an unprimeable number, because it can be changed into a prime (976643) 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, 8906 + ... + 9014.

2⁹⁷⁶⁶⁴⁰ 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 976640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1349040).

976640 is an abundant number, since it is smaller than the sum of its proper divisors (1721440).

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

976640 is a wasteful number, since it uses less digits than its factorization.

976640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 32.

The square root of 976640 is about 988.2509802677. The cubic root of 976640 is about 99.2151901817.

The spelling of 976640 in words is "nine hundred seventy-six thousand, six hundred forty".