685972560 has 320 divisors, whose sum is σ = 2674828800. Its totient is φ = 144506880.

The previous prime is 685972543. The next prime is 685972577. The reversal of 685972560 is 65279586.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (685972543) and next prime (685972577).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1069840 + ... + 1070480.

It is an arithmetic number, because the mean of its divisors is an integer number (8358840).

Almost surely, 2^685972560 is an apocalyptic number.

685972560 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 685972560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1337414400).

685972560 is an abundant number, since it is smaller than the sum of its proper divisors (1988856240).

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

685972560 is a wasteful number, since it uses less digits than its factorization.

685972560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 691 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 48.

The square root of 685972560 is about 26191.0778701450. The cubic root of 685972560 is about 881.9329755065.

The spelling of 685972560 in words is "six hundred eighty-five million, nine hundred seventy-two thousand, five hundred sixty".