681120000 has 540 divisors, whose sum is σ = 2739360624. Its totient is φ = 161280000.

The previous prime is 681119987. The next prime is 681120001. The reversal of 681120000 is 21186.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (681120001) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 15839979 + ... + 15840021.

Almost surely, 2^681120000 is an apocalyptic number.

681120000 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 681120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1369680312).

681120000 is an abundant number, since it is smaller than the sum of its proper divisors (2058240624).

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

681120000 is a wasteful number, since it uses less digits than its factorization.

681120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 681120000 is about 26098.2758051179. The cubic root of 681120000 is about 879.8484587537.

Adding to 681120000 its reverse (21186), we get a palindrome (681141186).

The spelling of 681120000 in words is "six hundred eighty-one million, one hundred twenty thousand".