685164480 has 896 divisors, whose sum is σ = 3146121216. Its totient is φ = 121651200.

The previous prime is 685164437. The next prime is 685164497. The reversal of 685164480 is 84461586.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 22102065 + ... + 22102095.

It is an arithmetic number, because the mean of its divisors is an integer number (3511296).

Almost surely, 2^685164480 is an apocalyptic number.

685164480 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 685164480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1573060608).

685164480 is an abundant number, since it is smaller than the sum of its proper divisors (2460956736).

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

685164480 is a wasteful number, since it uses less digits than its factorization.

685164480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The square root of 685164480 is about 26175.6466968822. The cubic root of 685164480 is about 881.5865318983.

The spelling of 685164480 in words is "six hundred eighty-five million, one hundred sixty-four thousand, four hundred eighty".