684337896 has 320 divisors, whose sum is σ = 2286028800. Its totient is φ = 188956800.

The previous prime is 684337859. The next prime is 684337937. The reversal of 684337896 is 698733486.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 79 ways as a sum of consecutive naturals, for example, 4198311 + ... + 4198473.

It is an arithmetic number, because the mean of its divisors is an integer number (7143840).

Almost surely, 2^684337896 is an apocalyptic number.

684337896 is a gapful number since it is divisible by the number (66) 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 684337896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1143014400).

684337896 is an abundant number, since it is smaller than the sum of its proper divisors (1601690904).

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

684337896 is a wasteful number, since it uses less digits than its factorization.

684337896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 229 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The square root of 684337896 is about 26159.8527518792. The cubic root of 684337896 is about 881.2318732351.

The spelling of 684337896 in words is "six hundred eighty-four million, three hundred thirty-seven thousand, eight hundred ninety-six".