684599040 has 432 divisors, whose sum is σ = 2571319296. Its totient is φ = 174182400.

The previous prime is 684599029. The next prime is 684599053. The reversal of 684599040 is 40995486.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9642205 + ... + 9642275.

It is an arithmetic number, because the mean of its divisors is an integer number (5952128).

Almost surely, 2^684599040 is an apocalyptic number.

684599040 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 684599040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1285659648).

684599040 is an abundant number, since it is smaller than the sum of its proper divisors (1886720256).

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

684599040 is an equidigital number, since it uses as much as digits as its factorization.

684599040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 684599040 is about 26164.8435882961. The cubic root of 684599040 is about 881.3439519570.

The spelling of 684599040 in words is "six hundred eighty-four million, five hundred ninety-nine thousand, forty".