684380040 has 64 divisors (see below), whose sum is σ = 2073504960. Its totient is φ = 180691200.

The previous prime is 684380029. The next prime is 684380041. The reversal of 684380040 is 40083486.

It is a junction number, because it is equal to n+sod(n) for n = 684379983 and 684380010.

It is not an unprimeable number, because it can be changed into a prime (684380041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16114 + ... + 40353.

It is an arithmetic number, because the mean of its divisors is an integer number (32398515).

Almost surely, 2^684380040 is an apocalyptic number.

684380040 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

684380040 is an abundant number, since it is smaller than the sum of its proper divisors (1389124920).

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

684380040 is a wasteful number, since it uses less digits than its factorization.

684380040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56582 (or 56578 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 684380040 is about 26160.6582485992. The cubic root of 684380040 is about 881.2499626779.

The spelling of 684380040 in words is "six hundred eighty-four million, three hundred eighty thousand, forty".