678657 has 16 divisors (see below), whose sum is σ = 1095552. Its totient is φ = 364800.

The previous prime is 678653. The next prime is 678659. The reversal of 678657 is 756876.

It is not a de Polignac number, because 678657 - 2² = 678653 is a prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 678657.

It is not an unprimeable number, because it can be changed into a prime (678653) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 594 + ... + 1307.

It is an arithmetic number, because the mean of its divisors is an integer number (68472).

2⁶⁷⁸⁶⁵⁷ is an apocalyptic number.

It is an amenable number.

678657 is a deficient number, since it is larger than the sum of its proper divisors (416895).

678657 is a wasteful number, since it uses less digits than its factorization.

678657 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1928.

The product of its digits is 70560, while the sum is 39.

The square root of 678657 is about 823.8064092977. The cubic root of 678657 is about 87.8786636986.

The spelling of 678657 in words is "six hundred seventy-eight thousand, six hundred fifty-seven".