685285920 has 720 divisors, whose sum is σ = 2919913920. Its totient is φ = 150543360.

The previous prime is 685285889. The next prime is 685285933. The reversal of 685285920 is 29582586.

685285920 is a `hidden beast` number, since 6 + 8 + 52 + 8 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 29795029 + ... + 29795051.

It is an arithmetic number, because the mean of its divisors is an integer number (4055436).

Almost surely, 2^685285920 is an apocalyptic number.

685285920 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 685285920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1459956960).

685285920 is an abundant number, since it is smaller than the sum of its proper divisors (2234628000).

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

685285920 is a wasteful number, since it uses less digits than its factorization.

685285920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 685285920 is about 26177.9663075648. The cubic root of 685285920 is about 881.6386135746.

The spelling of 685285920 in words is "six hundred eighty-five million, two hundred eighty-five thousand, nine hundred twenty".