657948 has 12 divisors (see below), whose sum is σ = 1535240. Its totient is φ = 219312.

The previous prime is 657947. The next prime is 657959. The reversal of 657948 is 849756.

It is a tau number, because it is divible by the number of its divisors (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (657947) by changing a digit.

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, 27403 + ... + 27426.

2⁶⁵⁷⁹⁴⁸ is an apocalyptic number.

It is an amenable number.

657948 is an abundant number, since it is smaller than the sum of its proper divisors (877292).

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

657948 is a wasteful number, since it uses less digits than its factorization.

657948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54836 (or 54834 counting only the distinct ones).

The product of its digits is 60480, while the sum is 39.

The square root of 657948 is about 811.1399386049. The cubic root of 657948 is about 86.9755513280.

The spelling of 657948 in words is "six hundred fifty-seven thousand, nine hundred forty-eight".