684296064 has 96 divisors (see below), whose sum is σ = 2037133800. Its totient is φ = 220222464.

The previous prime is 684296033. The next prime is 684296071. The reversal of 684296064 is 460692486.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×684296064² = 936522206411784192, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23167 + ... + 43649.

Almost surely, 2^684296064 is an apocalyptic number.

684296064 is a gapful number since it is divisible by the number (64) 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 684296064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1018566900).

684296064 is an abundant number, since it is smaller than the sum of its proper divisors (1352837736).

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

684296064 is a wasteful number, since it uses less digits than its factorization.

684296064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20532 (or 20517 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 684296064 is about 26159.0531938753. The cubic root of 684296064 is about 881.2139169774.

The spelling of 684296064 in words is "six hundred eighty-four million, two hundred ninety-six thousand, sixty-four".