681679872 has 264 divisors, whose sum is σ = 2203390800. Its totient is φ = 201719808.

The previous prime is 681679841. The next prime is 681679879. The reversal of 681679872 is 278976186.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (681679879) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2976654 + ... + 2976882.

Almost surely, 2^681679872 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 681679872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1101695400).

681679872 is an abundant number, since it is smaller than the sum of its proper divisors (1521710928).

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

681679872 is a wasteful number, since it uses less digits than its factorization.

681679872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 270 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 54.

The square root of 681679872 is about 26108.9998276456. Note that the first 3 decimals coincide. The cubic root of 681679872 is about 880.0894674878.

The spelling of 681679872 in words is "six hundred eighty-one million, six hundred seventy-nine thousand, eight hundred seventy-two".