677608 has 8 divisors (see below), whose sum is σ = 1270530. Its totient is φ = 338800.

The previous prime is 677587. The next prime is 677627. The reversal of 677608 is 806776.

677608 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 636804 + 40804 = 798^2 + 202^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a super-3 number, since 3×677608³ = 933376428325019136, which contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42343 + ... + 42358.

2⁶⁷⁷⁶⁰⁸ is an apocalyptic number.

It is an amenable number.

677608 is a deficient number, since it is larger than the sum of its proper divisors (592922).

677608 is a wasteful number, since it uses less digits than its factorization.

677608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84707 (or 84703 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 34.

The square root of 677608 is about 823.1694843712. The cubic root of 677608 is about 87.8333623384.

The spelling of 677608 in words is "six hundred seventy-seven thousand, six hundred eight".