656948 has 12 divisors (see below), whose sum is σ = 1217412. Its totient is φ = 309120.

The previous prime is 656939. The next prime is 656951. The reversal of 656948 is 849656.

It can be written as a sum of positive squares in 2 ways, for example, as 178084 + 478864 = 422^2 + 692^2 .

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 656948.

It is an unprimeable number.

656948 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 3 ways as a sum of consecutive naturals, for example, 4763 + ... + 4898.

It is an arithmetic number, because the mean of its divisors is an integer number (101451).

2⁶⁵⁶⁹⁴⁸ is an apocalyptic number.

656948 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

656948 is a deficient number, since it is larger than the sum of its proper divisors (560464).

656948 is a wasteful number, since it uses less digits than its factorization.

656948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9682 (or 9680 counting only the distinct ones).

The product of its digits is 51840, while the sum is 38.

The square root of 656948 is about 810.5232877592. The cubic root of 656948 is about 86.9314649399.

The spelling of 656948 in words is "six hundred fifty-six thousand, nine hundred forty-eight".