684269040 has 640 divisors, whose sum is σ = 2939811840. Its totient is φ = 127401984.

The previous prime is 684269039. The next prime is 684269051. The reversal of 684269040 is 40962486.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 684269040.

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, 7054272 + ... + 7054368.

It is an arithmetic number, because the mean of its divisors is an integer number (4593456).

Almost surely, 2^684269040 is an apocalyptic number.

684269040 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 684269040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1469905920).

684269040 is an abundant number, since it is smaller than the sum of its proper divisors (2255542800).

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

684269040 is a wasteful number, since it uses less digits than its factorization.

684269040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 684269040 is about 26158.5366563193. The cubic root of 684269040 is about 881.2023166192.

The spelling of 684269040 in words is "six hundred eighty-four million, two hundred sixty-nine thousand, forty".