681009120 has 480 divisors, whose sum is σ = 2785993056. Its totient is φ = 154828800.

The previous prime is 681009101. The next prime is 681009143. The reversal of 681009120 is 21900186.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2423380 + ... + 2423660.

Almost surely, 2^681009120 is an apocalyptic number.

681009120 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 681009120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1392996528).

681009120 is an abundant number, since it is smaller than the sum of its proper divisors (2104983936).

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

681009120 is a wasteful number, since it uses less digits than its factorization.

681009120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 681009120 is about 26096.1514403944. The cubic root of 681009120 is about 879.8007124479.

The spelling of 681009120 in words is "six hundred eighty-one million, nine thousand, one hundred twenty".