957680 has 20 divisors (see below), whose sum is σ = 2226792. Its totient is φ = 383040.

The previous prime is 957659. The next prime is 957701. The reversal of 957680 is 86759.

957680 = T₁₁₃ + T₁₁₄ + ... + T₁₉₂.

It is an interprime number because it is at equal distance from previous prime (957659) and next prime (957701).

It is a tau number, because it is divible by the number of its divisors (20).

It is a self number, because there is not a number n which added to its sum of digits gives 957680.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 5906 + ... + 6065.

2⁹⁵⁷⁶⁸⁰ is an apocalyptic number.

It is an amenable number.

957680 is an abundant number, since it is smaller than the sum of its proper divisors (1269112).

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

957680 is a wasteful number, since it uses less digits than its factorization.

957680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11984 (or 11978 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 35.

The square root of 957680 is about 978.6112609203. The cubic root of 957680 is about 98.5689520387.

The spelling of 957680 in words is "nine hundred fifty-seven thousand, six hundred eighty".