684998400 has 108 divisors (see below), whose sum is σ = 2260700792. Its totient is φ = 182661120.

The previous prime is 684998381. The next prime is 684998423. The reversal of 684998400 is 4899486.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 684998400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1362 + ... + 37038.

Almost surely, 2^684998400 is an apocalyptic number.

684998400 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 684998400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1130350396).

684998400 is an abundant number, since it is smaller than the sum of its proper divisors (1575702392).

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

684998400 is a wasteful number, since it uses less digits than its factorization.

684998400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35706 (or 35687 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The square root of 684998400 is about 26172.4740901582. The cubic root of 684998400 is about 881.5152956103.

The spelling of 684998400 in words is "six hundred eighty-four million, nine hundred ninety-eight thousand, four hundred".