684552960 has 432 divisors, whose sum is σ = 2919518784. Its totient is φ = 144211968.

The previous prime is 684552931. The next prime is 684553007. The reversal of 684552960 is 69255486.

684552960 is a `hidden beast` number, since 6 + 8 + 4 + 552 + 96 + 0 = 666.

It is a super-2 number, since 2×684552960² = 937225510089523200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1047994 + ... + 1048646.

Almost surely, 2^684552960 is an apocalyptic number.

684552960 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 684552960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1459759392).

684552960 is an abundant number, since it is smaller than the sum of its proper divisors (2234965824).

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

684552960 is a wasteful number, since it uses less digits than its factorization.

684552960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 684552960 is about 26163.9630025728. The cubic root of 684552960 is about 881.3241772479.

The spelling of 684552960 in words is "six hundred eighty-four million, five hundred fifty-two thousand, nine hundred sixty".