684524040 has 128 divisors (see below), whose sum is σ = 2183448960. Its totient is φ = 171085824.

The previous prime is 684524021. The next prime is 684524083. The reversal of 684524040 is 40425486.

It is a super-2 number, since 2×684524040² = 937146322675843200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 684523992 and 684524010.

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, 625734 + ... + 626826.

It is an arithmetic number, because the mean of its divisors is an integer number (17058195).

Almost surely, 2^684524040 is an apocalyptic number.

684524040 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 684524040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1091724480).

684524040 is an abundant number, since it is smaller than the sum of its proper divisors (1498924920).

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

684524040 is a wasteful number, since it uses less digits than its factorization.

684524040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1431 (or 1427 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

The square root of 684524040 is about 26163.4103281663. The cubic root of 684524040 is about 881.3117661048.

The spelling of 684524040 in words is "six hundred eighty-four million, five hundred twenty-four thousand, forty".