685400832 has 288 divisors, whose sum is σ = 2266387200. Its totient is φ = 203046912.

The previous prime is 685400809. The next prime is 685400861. The reversal of 685400832 is 238004586.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2232423 + ... + 2232729.

It is an arithmetic number, because the mean of its divisors is an integer number (7869400).

Almost surely, 2^685400832 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 685400832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1133193600).

685400832 is an abundant number, since it is smaller than the sum of its proper divisors (1580986368).

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

685400832 is a wasteful number, since it uses less digits than its factorization.

685400832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 685400832 is about 26180.1610384657. The cubic root of 685400832 is about 881.6878899380.

The spelling of 685400832 in words is "six hundred eighty-five million, four hundred thousand, eight hundred thirty-two".