681077376 has 256 divisors, whose sum is σ = 2350080000. Its totient is φ = 190135296.

The previous prime is 681077359. The next prime is 681077399. The reversal of 681077376 is 673770186.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1136725 + ... + 1137323.

It is an arithmetic number, because the mean of its divisors is an integer number (9180000).

Almost surely, 2^681077376 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 681077376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1175040000).

681077376 is an abundant number, since it is smaller than the sum of its proper divisors (1669002624).

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

681077376 is a wasteful number, since it uses less digits than its factorization.

681077376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The square root of 681077376 is about 26097.4591866718. The cubic root of 681077376 is about 879.8301049428.

It can be divided in two parts, 68 and 1077376, that added together give a square (1077444 = 1038²).

The spelling of 681077376 in words is "six hundred eighty-one million, seventy-seven thousand, three hundred seventy-six".