56705760 has 144 divisors (see below), whose sum is σ = 197424864. Its totient is φ = 14816256.

The previous prime is 56705749. The next prime is 56705771. The reversal of 56705760 is 6750765.

It is an interprime number because it is at equal distance from previous prime (56705749) and next prime (56705771).

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 a congruent number.

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, 75949 + ... + 76691.

It is an arithmetic number, because the mean of its divisors is an integer number (1371006).

Almost surely, 2^56705760 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 56705760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98712432).

56705760 is an abundant number, since it is smaller than the sum of its proper divisors (140719104).

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

56705760 is a wasteful number, since it uses less digits than its factorization.

56705760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 817 (or 806 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 36.

The square root of 56705760 is about 7530.3227022486. The cubic root of 56705760 is about 384.1867581139.

The spelling of 56705760 in words is "fifty-six million, seven hundred five thousand, seven hundred sixty".