684815040 has 672 divisors, whose sum is σ = 3034344960. Its totient is φ = 142331904.

The previous prime is 684815011. The next prime is 684815069. The reversal of 684815040 is 40518486.

It is an interprime number because it is at equal distance from previous prime (684815011) and next prime (684815069).

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 684814986 and 684815004.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10221087 + ... + 10221153.

Almost surely, 2^684815040 is an apocalyptic number.

684815040 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 684815040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1517172480).

684815040 is an abundant number, since it is smaller than the sum of its proper divisors (2349529920).

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

684815040 is a wasteful number, since it uses less digits than its factorization.

684815040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 684815040 is about 26168.9709388810. The cubic root of 684815040 is about 881.4366340792.

The spelling of 684815040 in words is "six hundred eighty-four million, eight hundred fifteen thousand, forty".