684423936 has 108 divisors (see below), whose sum is σ = 2255325072. Its totient is φ = 195545088.

The previous prime is 684423931. The next prime is 684423953. The reversal of 684423936 is 639324486.

It is a super-2 number, since 2×684423936² = 936872248339464192, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 684423891 and 684423900.

It is not an unprimeable number, because it can be changed into a prime (684423931) by changing a digit.

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, 5091 + ... + 37346.

Almost surely, 2^684423936 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 684423936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1127662536).

684423936 is an abundant number, since it is smaller than the sum of its proper divisors (1570901136).

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

684423936 is a wasteful number, since it uses less digits than its factorization.

684423936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42466 (or 42449 counting only the distinct ones).

The product of its digits is 746496, while the sum is 45.

The square root of 684423936 is about 26161.4972048620. The cubic root of 684423936 is about 881.2688033411.

The spelling of 684423936 in words is "six hundred eighty-four million, four hundred twenty-three thousand, nine hundred thirty-six".