684860064 has 288 divisors, whose sum is σ = 2215273536. Its totient is φ = 184504320.

The previous prime is 684860051. The next prime is 684860069. The reversal of 684860064 is 460068486.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 684859998 and 684860025.

It is not an unprimeable number, because it can be changed into a prime (684860069) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10221759 + ... + 10221825.

It is an arithmetic number, because the mean of its divisors is an integer number (7691922).

Almost surely, 2^684860064 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 684860064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1107636768).

684860064 is an abundant number, since it is smaller than the sum of its proper divisors (1530413472).

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

684860064 is a wasteful number, since it uses less digits than its factorization.

684860064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The square root of 684860064 is about 26169.8311801968. The cubic root of 684860064 is about 881.4559506980.

The spelling of 684860064 in words is "six hundred eighty-four million, eight hundred sixty thousand, sixty-four".