56264814 has 128 divisors (see below), whose sum is σ = 142848000. Its totient is φ = 16329600.

The previous prime is 56264809. The next prime is 56264839. The reversal of 56264814 is 41846265.

56264814 is a `hidden beast` number, since 5 + 6 + 2 + 648 + 1 + 4 = 666.

56264814 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 922344 + ... + 922404.

It is an arithmetic number, because the mean of its divisors is an integer number (1116000).

Almost surely, 2^56264814 is an apocalyptic number.

56264814 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 56264814, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71424000).

56264814 is an abundant number, since it is smaller than the sum of its proper divisors (86583186).

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

56264814 is a wasteful number, since it uses less digits than its factorization.

56264814 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 145 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 56264814 is about 7500.9875349850. The cubic root of 56264814 is about 383.1883491198.

It can be divided in two parts, 5626 and 4814, that added together give a triangular number (10440 = T₁₄₄).

The spelling of 56264814 in words is "fifty-six million, two hundred sixty-four thousand, eight hundred fourteen".