56345856 has 144 divisors (see below), whose sum is σ = 175816704. Its totient is φ = 15685632.

The previous prime is 56345831. The next prime is 56345893. The reversal of 56345856 is 65854365.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 252561 + ... + 252783.

Almost surely, 2^56345856 is an apocalyptic number.

56345856 is a gapful number since it is divisible by the number (56) 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 56345856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87908352).

56345856 is an abundant number, since it is smaller than the sum of its proper divisors (119470848).

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

56345856 is a wasteful number, since it uses less digits than its factorization.

56345856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 282 counting only the distinct ones).

The product of its digits is 432000, while the sum is 42.

The square root of 56345856 is about 7506.3876798364. The cubic root of 56345856 is about 383.3722381854.

The spelling of 56345856 in words is "fifty-six million, three hundred forty-five thousand, eight hundred fifty-six".