956640 has 48 divisors (see below), whose sum is σ = 3014928. Its totient is φ = 254976.

The previous prime is 956633. The next prime is 956689. The reversal of 956640 is 46659.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 956598 and 956607.

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 956640.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 517 + ... + 1476.

It is an arithmetic number, because the mean of its divisors is an integer number (62811).

2⁹⁵⁶⁶⁴⁰ is an apocalyptic number.

It is an amenable number.

956640 is an abundant number, since it is smaller than the sum of its proper divisors (2058288).

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

956640 is a wasteful number, since it uses less digits than its factorization.

956640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2011 (or 2003 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 956640 is about 978.0797513496. The cubic root of 956640 is about 98.5332585432.

It can be divided in two parts, 956 and 640, that added together give a triangular number (1596 = T₅₆).

The spelling of 956640 in words is "nine hundred fifty-six thousand, six hundred forty".