684292752 has 480 divisors, whose sum is σ = 2493590400. Its totient is φ = 177914880.

The previous prime is 684292751. The next prime is 684292759. The reversal of 684292752 is 257292486.

It is a junction number, because it is equal to n+sod(n) for n = 684292698 and 684292707.

It is not an unprimeable number, because it can be changed into a prime (684292751) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 12911158 + ... + 12911210.

It is an arithmetic number, because the mean of its divisors is an integer number (5194980).

Almost surely, 2^684292752 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 684292752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1246795200).

684292752 is an abundant number, since it is smaller than the sum of its proper divisors (1809297648).

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

684292752 is a wasteful number, since it uses less digits than its factorization.

684292752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 101 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 684292752 is about 26158.9898887553. The cubic root of 684292752 is about 881.2124952803.

The spelling of 684292752 in words is "six hundred eighty-four million, two hundred ninety-two thousand, seven hundred fifty-two".