684868900 has 27 divisors (see below), whose sum is σ = 1486733619. Its totient is φ = 273842880.

The previous prime is 684868897. The next prime is 684868937. The reversal of 684868900 is 9868486.

The square root of 684868900 is 26170.

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

It can be written as a sum of positive squares in 4 ways, for example, as 149964516 + 534904384 = 12246^2 + 23128^2 .

It is a Duffinian number.

It is an unprimeable 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 8 ways as a sum of consecutive naturals, for example, 260392 + ... + 263008.

Almost surely, 2^684868900 is an apocalyptic number.

684868900 is the 26170-th square number.

It is an amenable number.

684868900 is an abundant number, since it is smaller than the sum of its proper divisors (801864719).

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

684868900 is an equidigital number, since it uses as much as digits as its factorization.

684868900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5248 (or 2624 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 49.

The cubic root of 684868900 is about 881.4597415023.

Multiplying 684868900 by its sum of digits (49), we get a square (33558576100 = 183190²).

The spelling of 684868900 in words is "six hundred eighty-four million, eight hundred sixty-eight thousand, nine hundred".