684132840 has 48 divisors (see below), whose sum is σ = 2223432900. Its totient is φ = 182435328.

The previous prime is 684132821. The next prime is 684132863. The reversal of 684132840 is 48231486.

It can be written as a sum of positive squares in 2 ways, for example, as 684031716 + 101124 = 26154^2 + 318^2 .

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 = 684132795 and 684132804.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 949825 + ... + 950544.

Almost surely, 2^684132840 is an apocalyptic number.

684132840 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

684132840 is an abundant number, since it is smaller than the sum of its proper divisors (1539300060).

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

684132840 is a wasteful number, since it uses less digits than its factorization.

684132840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1900386 (or 1900379 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 684132840 is about 26155.9331701241. The cubic root of 684132840 is about 881.1438465767.

It can be divided in two parts, 68413 and 2840, that added together give a triangular number (71253 = T₃₇₇).

The spelling of 684132840 in words is "six hundred eighty-four million, one hundred thirty-two thousand, eight hundred forty".