684905760 has 768 divisors, whose sum is σ = 3135283200. Its totient is φ = 135475200.

The previous prime is 684905759. The next prime is 684905773. The reversal of 684905760 is 67509486.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9646525 + ... + 9646595.

It is an arithmetic number, because the mean of its divisors is an integer number (4082400).

Almost surely, 2^684905760 is an apocalyptic number.

684905760 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 684905760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1567641600).

684905760 is an abundant number, since it is smaller than the sum of its proper divisors (2450377440).

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

684905760 is a wasteful number, since it uses less digits than its factorization.

684905760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 684905760 is about 26170.7042320225. The cubic root of 684905760 is about 881.4755547590.

The spelling of 684905760 in words is "six hundred eighty-four million, nine hundred five thousand, seven hundred sixty".