685916100 has 189 divisors, whose sum is σ = 2254879767. Its totient is φ = 181025280.

The previous prime is 685916081. The next prime is 685916113. The reversal of 685916100 is 1619586.

The square root of 685916100 is 26190.

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

685916100 is a `hidden beast` number, since 6 + 8 + 591 + 61 + 0 + 0 = 666.

685916100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 25220484 + 660695616 = 5022^2 + 25704^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 7071252 + ... + 7071348.

Almost surely, 2^685916100 is an apocalyptic number.

685916100 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

685916100 is the 26190-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 685916100

685916100 is an abundant number, since it is smaller than the sum of its proper divisors (1568963667).

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

685916100 is an equidigital number, since it uses as much as digits as its factorization.

685916100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The cubic root of 685916100 is about 881.9087785707.

Multiplying 685916100 by its sum of digits (36), we get a square (24692979600 = 157140²).

685916100 divided by its sum of digits (36) gives a square (19053225 = 4365²).

It can be divided in two parts, 68591 and 6100, that added together give a triangular number (74691 = T₃₈₆).

The spelling of 685916100 in words is "six hundred eighty-five million, nine hundred sixteen thousand, one hundred".