56623104 has 88 divisors (see below), whose sum is σ = 167772120. Its totient is φ = 18874368.

The previous prime is 56623093. The next prime is 56623153. The reversal of 56623104 is 40132665.

The cubic root of 56623104 is 384.

It is a perfect power (a cube), and thus also a powerful number.

It is a Jordan-Polya number, since it can be written as (4!)³ ⋅ (2!)¹².

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 8.

It is a zygodrome in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18874367 + 18874368 + 18874369.

Almost surely, 2^56623104 is an apocalyptic number.

56623104 is a gapful number since it is divisible by the number (54) 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 56623104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83886060).

56623104 is an abundant number, since it is smaller than the sum of its proper divisors (111149016).

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

56623104 is an frugal number, since it uses more digits than its factorization.

56623104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51 (or 5 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 56623104 is about 7524.8324898299.

Multiplying 56623104 by its sum of digits (27), we get a cube (1528823808 = 1152³).

56623104 divided by its sum of digits (27) gives a 21-st power (2097152 = 2²¹).

Adding to 56623104 its reverse (40132665), we get a palindrome (96755769).

The spelling of 56623104 in words is "fifty-six million, six hundred twenty-three thousand, one hundred four".