56530600 has 96 divisors (see below), whose sum is σ = 151776000. Its totient is φ = 19180800.

The previous prime is 56530511. The next prime is 56530603. The reversal of 56530600 is 603565.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (56530603) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 208465 + ... + 208735.

It is an arithmetic number, because the mean of its divisors is an integer number (1581000).

Almost surely, 2^56530600 is an apocalyptic number.

56530600 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 56530600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75888000).

56530600 is an abundant number, since it is smaller than the sum of its proper divisors (95245400).

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

56530600 is a wasteful number, since it uses less digits than its factorization.

56530600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 25.

The square root of 56530600 is about 7518.6833953825. The cubic root of 56530600 is about 383.7907750567.

The spelling of 56530600 in words is "fifty-six million, five hundred thirty thousand, six hundred".