681626880 has 432 divisors, whose sum is σ = 2675023680. Its totient is φ = 164229120.

The previous prime is 681626879. The next prime is 681626887. The reversal of 681626880 is 88626186.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (681626887) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4181679 + ... + 4181841.

Almost surely, 2^681626880 is an apocalyptic number.

681626880 is a gapful number since it is divisible by the number (60) 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 681626880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1337511840).

681626880 is an abundant number, since it is smaller than the sum of its proper divisors (1993396800).

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

681626880 is a wasteful number, since it uses less digits than its factorization.

681626880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 681626880 is about 26107.9849854408. The cubic root of 681626880 is about 880.0666616168.

The spelling of 681626880 in words is "six hundred eighty-one million, six hundred twenty-six thousand, eight hundred eighty".