681917292 has 288 divisors, whose sum is σ = 2183860224. Its totient is φ = 181958400.

The previous prime is 681917267. The next prime is 681917297. The reversal of 681917292 is 292719186.

681917292 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×681917292² = 930022386257226528, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (681917297) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11178942 + ... + 11179002.

It is an arithmetic number, because the mean of its divisors is an integer number (7582848).

Almost surely, 2^681917292 is an apocalyptic number.

681917292 is a gapful number since it is divisible by the number (62) 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 681917292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1091930112).

681917292 is an abundant number, since it is smaller than the sum of its proper divisors (1501942932).

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

681917292 is a wasteful number, since it uses less digits than its factorization.

681917292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 157 counting only the distinct ones).

The product of its digits is 108864, while the sum is 45.

The square root of 681917292 is about 26113.5461398869. The cubic root of 681917292 is about 880.1916300993.

The spelling of 681917292 in words is "six hundred eighty-one million, nine hundred seventeen thousand, two hundred ninety-two".