56281680 has 240 divisors, whose sum is σ = 232901760. Its totient is φ = 11860992.

The previous prime is 56281669. The next prime is 56281703. The reversal of 56281680 is 8618265.

It is a happy number.

56281680 is a `hidden beast` number, since 562 + 8 + 16 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 65091 + ... + 65949.

It is an arithmetic number, because the mean of its divisors is an integer number (970424).

Almost surely, 2^56281680 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 56281680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116450880).

56281680 is an abundant number, since it is smaller than the sum of its proper divisors (176620080).

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

56281680 is a wasteful number, since it uses less digits than its factorization.

56281680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 898 (or 889 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 56281680 is about 7502.1117027141. Note that the first 3 decimals coincide. The cubic root of 56281680 is about 383.2266336092.

The spelling of 56281680 in words is "fifty-six million, two hundred eighty-one thousand, six hundred eighty".