56705268 has 72 divisors (see below), whose sum is σ = 142968672. Its totient is φ = 17486336.

The previous prime is 56705267. The next prime is 56705269. The reversal of 56705268 is 86250765.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (56705267) and next prime (56705269).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56705263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 287746 + ... + 287942.

It is an arithmetic number, because the mean of its divisors is an integer number (1985676).

Almost surely, 2^56705268 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 56705268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71484336).

56705268 is an abundant number, since it is smaller than the sum of its proper divisors (86263404).

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

56705268 is a wasteful number, since it uses less digits than its factorization.

56705268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 39.

The square root of 56705268 is about 7530.2900342550. The cubic root of 56705268 is about 384.1856469956.

The spelling of 56705268 in words is "fifty-six million, seven hundred five thousand, two hundred sixty-eight".