681154656 has 192 divisors, whose sum is σ = 2224954368. Its totient is φ = 177666048.

The previous prime is 681154651. The next prime is 681154667. The reversal of 681154656 is 656451186.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (681154651) 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 31 ways as a sum of consecutive naturals, for example, 899430 + ... + 900186.

It is an arithmetic number, because the mean of its divisors is an integer number (11588304).

Almost surely, 2^681154656 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 681154656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1112477184).

681154656 is an abundant number, since it is smaller than the sum of its proper divisors (1543799712).

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

681154656 is a wasteful number, since it uses less digits than its factorization.

681154656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 893 (or 885 counting only the distinct ones).

The product of its digits is 172800, while the sum is 42.

The square root of 681154656 is about 26098.9397485798. The cubic root of 681154656 is about 879.8633809950.

It can be divided in two parts, 68115 and 4656, that added together give a triangular number (72771 = T₃₈₁).

The spelling of 681154656 in words is "six hundred eighty-one million, one hundred fifty-four thousand, six hundred fifty-six".