685011600 has 960 divisors, whose sum is σ = 3254791680. Its totient is φ = 132710400.

The previous prime is 685011589. The next prime is 685011611. The reversal of 685011600 is 6110586.

685011600 is a `hidden beast` number, since 6 + 8 + 50 + 1 + 1 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (685011589) and next prime (685011611).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 16707580 + ... + 16707620.

It is an arithmetic number, because the mean of its divisors is an integer number (3390408).

Almost surely, 2^685011600 is an apocalyptic number.

685011600 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 685011600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1627395840).

685011600 is an abundant number, since it is smaller than the sum of its proper divisors (2569780080).

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

685011600 is a wasteful number, since it uses less digits than its factorization.

685011600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 685011600 is about 26172.7262622754. The cubic root of 685011600 is about 881.5209578752.

The spelling of 685011600 in words is "six hundred eighty-five million, eleven thousand, six hundred".