56106600 has 96 divisors (see below), whose sum is σ = 189764640. Its totient is φ = 13600000.

The previous prime is 56106587. The next prime is 56106649. The reversal of 56106600 is 660165.

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, 2350 + ... + 10850.

It is an arithmetic number, because the mean of its divisors is an integer number (1976715).

Almost surely, 2^56106600 is an apocalyptic number.

56106600 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 56106600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94882320).

56106600 is an abundant number, since it is smaller than the sum of its proper divisors (133658040).

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

56106600 is a wasteful number, since it uses less digits than its factorization.

56106600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8531 (or 8522 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 56106600 is about 7490.4338993145. The cubic root of 56106600 is about 382.8288427564.

Adding to 56106600 its reverse (660165), we get a palindrome (56766765).

The spelling of 56106600 in words is "fifty-six million, one hundred six thousand, six hundred".