684622240 has 48 divisors (see below), whose sum is σ = 1622347272. Its totient is φ = 273014784.

The previous prime is 684622219. The next prime is 684622241. The reversal of 684622240 is 42226486.

It can be written as a sum of positive squares in 4 ways, for example, as 372181264 + 312440976 = 19292^2 + 17676^2 .

It is a super-2 number, since 2×684622240² = 937415223005235200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 684622196 and 684622205.

It is not an unprimeable number, because it can be changed into a prime (684622241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47572 + ... + 60268.

Almost surely, 2^684622240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 684622240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (811173636).

684622240 is an abundant number, since it is smaller than the sum of its proper divisors (937725032).

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

684622240 is a wasteful number, since it uses less digits than its factorization.

684622240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13049 (or 13041 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 34.

The square root of 684622240 is about 26165.2869275305. The cubic root of 684622240 is about 881.3539076378.

The spelling of 684622240 in words is "six hundred eighty-four million, six hundred twenty-two thousand, two hundred forty".