679905625 has 45 divisors (see below), whose sum is σ = 994999467. Its totient is φ = 463092000.

The previous prime is 679905617. The next prime is 679905631. The reversal of 679905625 is 526509976.

The square root of 679905625 is 26075.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 676988361 + 2917264 = 26019^2 + 1708^2 .

It is not a de Polignac number, because 679905625 - 2³ = 679905617 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 4563051 + ... + 4563199.

Almost surely, 2^679905625 is an apocalyptic number.

679905625 is the 26075-th square number.

679905625 is the 13038-th centered octagonal number.

It is an amenable number.

679905625 is a deficient number, since it is larger than the sum of its proper divisors (315093842).

679905625 is an frugal number, since it uses more digits than its factorization.

679905625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 1020600, while the sum is 49.

The cubic root of 679905625 is about 879.3252510985.

Multiplying 679905625 by its sum of digits (49), we get a square (33315375625 = 182525²).

679905625 divided by its sum of digits (49) gives a square (13875625 = 3725²).

It can be divided in two parts, 679 and 905625, that added together give a square (906304 = 952²).

The spelling of 679905625 in words is "six hundred seventy-nine million, nine hundred five thousand, six hundred twenty-five".