677628 has 36 divisors (see below), whose sum is σ = 1958320. Its totient is φ = 193536.

The previous prime is 677627. The next prime is 677639. The reversal of 677628 is 826776.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 677592 and 677601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (677627) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1093 + ... + 1596.

2⁶⁷⁷⁶²⁸ is an apocalyptic number.

It is an amenable number.

677628 is an abundant number, since it is smaller than the sum of its proper divisors (1280692).

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

677628 is a wasteful number, since it uses less digits than its factorization.

677628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2706 (or 2701 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 677628 is about 823.1816324481. The cubic root of 677628 is about 87.8342264811.

The spelling of 677628 in words is "six hundred seventy-seven thousand, six hundred twenty-eight".