681352560 has 280 divisors, whose sum is σ = 2716061280. Its totient is φ = 155644416.

The previous prime is 681352543. The next prime is 681352579. The reversal of 681352560 is 65253186.

681352560 is a `hidden beast` number, since 68 + 1 + 35 + 2 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (280).

It is a super-2 number, since 2×681352560² = 928482622037107200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 407406 + ... + 409074.

Almost surely, 2^681352560 is an apocalyptic number.

681352560 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 681352560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1358030640).

681352560 is an abundant number, since it is smaller than the sum of its proper divisors (2034708720).

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

681352560 is a wasteful number, since it uses less digits than its factorization.

681352560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1707 (or 1686 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 681352560 is about 26102.7308916136. The cubic root of 681352560 is about 879.9485851504.

The spelling of 681352560 in words is "six hundred eighty-one million, three hundred fifty-two thousand, five hundred sixty".