56032800 has 144 divisors (see below), whose sum is σ = 187612992. Its totient is φ = 14515200.

The previous prime is 56032787. The next prime is 56032811. The reversal of 56032800 is 823065.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88485 + ... + 89115.

It is an arithmetic number, because the mean of its divisors is an integer number (1302868).

Almost surely, 2^56032800 is an apocalyptic number.

56032800 is a gapful number since it is divisible by the number (50) 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 56032800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93806496).

56032800 is an abundant number, since it is smaller than the sum of its proper divisors (131580192).

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

56032800 is a wasteful number, since it uses less digits than its factorization.

56032800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 691 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 56032800 is about 7485.5059949211. The cubic root of 56032800 is about 382.6609173839.

Adding to 56032800 its reverse (823065), we get a palindrome (56855865).

The spelling of 56032800 in words is "fifty-six million, thirty-two thousand, eight hundred".