677264 has 20 divisors (see below), whose sum is σ = 1499904. Its totient is φ = 290208.

The previous prime is 677239. The next prime is 677309. The reversal of 677264 is 462776.

It is a happy number.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a d-powerful number, because it can be written as 6³ + 7⁵ + 2⁹ + 7⁶ + 6⁷ + 4⁹ .

It is a self number, because there is not a number n which added to its sum of digits gives 677264.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 677264.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2912 + ... + 3135.

2⁶⁷⁷²⁶⁴ is an apocalyptic number.

It is an amenable number.

677264 is an abundant number, since it is smaller than the sum of its proper divisors (822640).

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

677264 is a wasteful number, since it uses less digits than its factorization.

677264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6062 (or 6056 counting only the distinct ones).

The product of its digits is 14112, while the sum is 32.

The square root of 677264 is about 822.9605093806. The cubic root of 677264 is about 87.8184964223.

The spelling of 677264 in words is "six hundred seventy-seven thousand, two hundred sixty-four".