684940896 has 72 divisors (see below), whose sum is σ = 1974543480. Its totient is φ = 225179136.

The previous prime is 684940891. The next prime is 684940901. The reversal of 684940896 is 698049486.

684940896 is a `hidden beast` number, since 68 + 494 + 0 + 8 + 96 = 666.

It is an interprime number because it is at equal distance from previous prime (684940891) and next prime (684940901).

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (684940891) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4735 + ... + 37313.

It is an arithmetic number, because the mean of its divisors is an integer number (27424215).

Almost surely, 2^684940896 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 684940896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (987271740).

684940896 is an abundant number, since it is smaller than the sum of its proper divisors (1289602584).

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

684940896 is a wasteful number, since it uses less digits than its factorization.

684940896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32668 (or 32657 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The square root of 684940896 is about 26171.3755083679. The cubic root of 684940896 is about 881.4906278767.

The spelling of 684940896 in words is "six hundred eighty-four million, nine hundred forty thousand, eight hundred ninety-six".