56266464 has 96 divisors (see below), whose sum is σ = 163296000. Its totient is φ = 16873472.

The previous prime is 56266453. The next prime is 56266493. The reversal of 56266464 is 46466265.

56266464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 36787 + ... + 38285.

It is an arithmetic number, because the mean of its divisors is an integer number (1701000).

Almost surely, 2^56266464 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 56266464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81648000).

56266464 is an abundant number, since it is smaller than the sum of its proper divisors (107029536).

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

56266464 is a wasteful number, since it uses less digits than its factorization.

56266464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1552 (or 1544 counting only the distinct ones).

The product of its digits is 207360, while the sum is 39.

The square root of 56266464 is about 7501.0975196967. The cubic root of 56266464 is about 383.1920948272.

It can be divided in two parts, 5626 and 6464, that added together give a triangular number (12090 = T₁₅₅).

The spelling of 56266464 in words is "fifty-six million, two hundred sixty-six thousand, four hundred sixty-four".