681255120 has 160 divisors (see below), whose sum is σ = 2599333632. Its totient is φ = 143732736.

The previous prime is 681255109. The next prime is 681255121. The reversal of 681255120 is 21552186.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (681255121) 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, 6244 + ... + 37436.

Almost surely, 2^681255120 is an apocalyptic number.

681255120 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 681255120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1299666816).

681255120 is an abundant number, since it is smaller than the sum of its proper divisors (1918078512).

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

681255120 is a wasteful number, since it uses less digits than its factorization.

681255120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31229 (or 31223 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

The square root of 681255120 is about 26100.8643535037. The cubic root of 681255120 is about 879.9066361004.

The spelling of 681255120 in words is "six hundred eighty-one million, two hundred fifty-five thousand, one hundred twenty".