56362464 has 144 divisors (see below), whose sum is σ = 169827840. Its totient is φ = 17706240.

The previous prime is 56362441. The next prime is 56362499. The reversal of 56362464 is 46426365.

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 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, 526699 + ... + 526805.

It is an arithmetic number, because the mean of its divisors is an integer number (1179360).

Almost surely, 2^56362464 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 56362464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84913920).

56362464 is an abundant number, since it is smaller than the sum of its proper divisors (113465376).

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

56362464 is a wasteful number, since it uses less digits than its factorization.

56362464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 202 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The square root of 56362464 is about 7507.4938561413. The cubic root of 56362464 is about 383.4099009413.

It can be divided in two parts, 5636 and 2464, that added together give a square (8100 = 90²).

The spelling of 56362464 in words is "fifty-six million, three hundred sixty-two thousand, four hundred sixty-four".