656970 has 32 divisors (see below), whose sum is σ = 1607040. Its totient is φ = 171840.

The previous prime is 656959. The next prime is 656977. The reversal of 656970 is 79656.

It is an Ulam number.

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 656970.

It is not an unprimeable number, because it can be changed into a prime (656977) by changing a digit.

656970 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1651 + ... + 2009.

It is an arithmetic number, because the mean of its divisors is an integer number (50220).

2⁶⁵⁶⁹⁷⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 656970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (803520).

656970 is an abundant number, since it is smaller than the sum of its proper divisors (950070).

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

656970 is a wasteful number, since it uses less digits than its factorization.

656970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430.

The product of its (nonzero) digits is 11340, while the sum is 33.

The square root of 656970 is about 810.5368591249. The cubic root of 656970 is about 86.9324353216.

The spelling of 656970 in words is "six hundred fifty-six thousand, nine hundred seventy".