677964 has 36 divisors (see below), whose sum is σ = 1841784. Its totient is φ = 193536.

The previous prime is 677959. The next prime is 677983. The reversal of 677964 is 469776.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12 + ... + 1164.

2⁶⁷⁷⁹⁶⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 677964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (920892).

677964 is an abundant number, since it is smaller than the sum of its proper divisors (1163820).

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

677964 is a wasteful number, since it uses less digits than its factorization.

677964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1174 (or 1165 counting only the distinct ones).

The product of its digits is 63504, while the sum is 39.

The square root of 677964 is about 823.3856933418. The cubic root of 677964 is about 87.8487415363.

The spelling of 677964 in words is "six hundred seventy-seven thousand, nine hundred sixty-four".