684925920 has 432 divisors, whose sum is σ = 2883889008. Its totient is φ = 147087360.

The previous prime is 684925919. The next prime is 684925949. The reversal of 684925920 is 29529486.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1199235 + ... + 1199805.

It is an arithmetic number, because the mean of its divisors is an integer number (6675669).

Almost surely, 2^684925920 is an apocalyptic number.

684925920 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 684925920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1441944504).

684925920 is an abundant number, since it is smaller than the sum of its proper divisors (2198963088).

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

684925920 is a wasteful number, since it uses less digits than its factorization.

684925920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 684925920 is about 26171.0893926867. The cubic root of 684925920 is about 881.4842033322.

The spelling of 684925920 in words is "six hundred eighty-four million, nine hundred twenty-five thousand, nine hundred twenty".