681390080 has 208 divisors, whose sum is σ = 1926523200. Its totient is φ = 231211008.

The previous prime is 681390079. The next prime is 681390091. The reversal of 681390080 is 80093186.

It is a super-2 number, since 2×681390080² = 928584882244812800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 681390080.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7024592 + ... + 7024688.

Almost surely, 2^681390080 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 681390080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (963261600).

681390080 is an abundant number, since it is smaller than the sum of its proper divisors (1245133120).

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

681390080 is an frugal number, since it uses more digits than its factorization.

681390080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 35.

The square root of 681390080 is about 26103.4495804673. The cubic root of 681390080 is about 879.9647368790.

The spelling of 681390080 in words is "six hundred eighty-one million, three hundred ninety thousand, eighty".