677633625 has 24 divisors (see below), whose sum is σ = 1221549576. Its totient is φ = 361404000.

The previous prime is 677633623. The next prime is 677633683. The reversal of 677633625 is 526336776.

677633625 is a `hidden beast` number, since 6 + 7 + 7 + 633 + 6 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 78216336 + 599417289 = 8844^2 + 24483^2 .

It is not a de Polignac number, because 677633625 - 2¹ = 677633623 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (677633623) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 300046 + ... + 302295.

It is an arithmetic number, because the mean of its divisors is an integer number (50897899).

Almost surely, 2^677633625 is an apocalyptic number.

It is an amenable number.

677633625 is a deficient number, since it is larger than the sum of its proper divisors (543915951).

677633625 is a wasteful number, since it uses less digits than its factorization.

677633625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 602362 (or 602349 counting only the distinct ones).

The product of its digits is 952560, while the sum is 45.

The square root of 677633625 is about 26031.3969083490. The cubic root of 677633625 is about 878.3446951815.

It can be divided in two parts, 6776 and 33625, that added together give a square (40401 = 201²).

The spelling of 677633625 in words is "six hundred seventy-seven million, six hundred thirty-three thousand, six hundred twenty-five".