56661408 has 144 divisors (see below), whose sum is σ = 174073536. Its totient is φ = 17418240.

The previous prime is 56661383. The next prime is 56661413. The reversal of 56661408 is 80416665.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 347535 + ... + 347697.

It is an arithmetic number, because the mean of its divisors is an integer number (1208844).

Almost surely, 2^56661408 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 56661408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87036768).

56661408 is an abundant number, since it is smaller than the sum of its proper divisors (117412128).

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

56661408 is a wasteful number, since it uses less digits than its factorization.

56661408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 56661408 is about 7527.3772324761. The cubic root of 56661408 is about 384.0865690241.

The spelling of 56661408 in words is "fifty-six million, six hundred sixty-one thousand, four hundred eight".