681951456 has 72 divisors (see below), whose sum is σ = 1942386264. Its totient is φ = 226955520.

The previous prime is 681951451. The next prime is 681951493. The reversal of 681951456 is 654159186.

681951456 is a `hidden beast` number, since 6 + 8 + 195 + 1 + 456 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (681951451) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 228051 + ... + 231021.

It is an arithmetic number, because the mean of its divisors is an integer number (26977587).

Almost surely, 2^681951456 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 681951456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (971193132).

681951456 is an abundant number, since it is smaller than the sum of its proper divisors (1260434808).

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

681951456 is a wasteful number, since it uses less digits than its factorization.

681951456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3784 (or 3773 counting only the distinct ones).

The product of its digits is 259200, while the sum is 45.

The square root of 681951456 is about 26114.2002749462. The cubic root of 681951456 is about 880.2063290298.

The spelling of 681951456 in words is "six hundred eighty-one million, nine hundred fifty-one thousand, four hundred fifty-six".