684983040 has 288 divisors, whose sum is σ = 2649024000. Its totient is φ = 147259392.

The previous prime is 684983021. The next prime is 684983053. The reversal of 684983040 is 40389486.

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 = 684982983 and 684983001.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 456211 + ... + 457709.

It is an arithmetic number, because the mean of its divisors is an integer number (9198000).

Almost surely, 2^684983040 is an apocalyptic number.

684983040 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 684983040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1324512000).

684983040 is an abundant number, since it is smaller than the sum of its proper divisors (1964040960).

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

684983040 is a wasteful number, since it uses less digits than its factorization.

684983040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1547 (or 1533 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 684983040 is about 26172.1806504540. The cubic root of 684983040 is about 881.5087067014.

The spelling of 684983040 in words is "six hundred eighty-four million, nine hundred eighty-three thousand, forty".