681339456 has 168 divisors, whose sum is σ = 2309286720. Its totient is φ = 187923456.

The previous prime is 681339437. The next prime is 681339473. The reversal of 681339456 is 654933186.

681339456 is a `hidden beast` number, since 68 + 133 + 9 + 456 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 114015 + ... + 119841.

Almost surely, 2^681339456 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 681339456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1154643360).

681339456 is an abundant number, since it is smaller than the sum of its proper divisors (1627947264).

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

681339456 is a wasteful number, since it uses less digits than its factorization.

681339456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5881 (or 5868 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 681339456 is about 26102.4798821874. The cubic root of 681339456 is about 879.9429439592.

The spelling of 681339456 in words is "six hundred eighty-one million, three hundred thirty-nine thousand, four hundred fifty-six".