677364 has 24 divisors (see below), whose sum is σ = 1615488. Its totient is φ = 220800.

The previous prime is 677357. The next prime is 677371. The reversal of 677364 is 463776.

It is an interprime number because it is at equal distance from previous prime (677357) and next prime (677371).

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 677364.

It is an unprimeable number.

677364 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 (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37 + ... + 1164.

It is an arithmetic number, because the mean of its divisors is an integer number (67312).

2⁶⁷⁷³⁶⁴ is an apocalyptic number.

It is an amenable number.

677364 is an abundant number, since it is smaller than the sum of its proper divisors (938124).

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

677364 is a wasteful number, since it uses less digits than its factorization.

677364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1255 (or 1253 counting only the distinct ones).

The product of its digits is 21168, while the sum is 33.

The square root of 677364 is about 823.0212633948. The cubic root of 677364 is about 87.8228184284.

The spelling of 677364 in words is "six hundred seventy-seven thousand, three hundred sixty-four".