56126600 has 48 divisors (see below), whose sum is σ = 135008100. Its totient is φ = 21674240.

The previous prime is 56126597. The next prime is 56126611. The reversal of 56126600 is 662165.

It can be written as a sum of positive squares in 6 ways, for example, as 26030404 + 30096196 = 5102^2 + 5486^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 56126600.

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 11 ways as a sum of consecutive naturals, for example, 962 + ... + 10638.

Almost surely, 2^56126600 is an apocalyptic number.

56126600 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 56126600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67504050).

56126600 is an abundant number, since it is smaller than the sum of its proper divisors (78881500).

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

56126600 is a wasteful number, since it uses less digits than its factorization.

56126600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9722 (or 9713 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 56126600 is about 7491.7688165079. The cubic root of 56126600 is about 382.8743256246.

Adding to 56126600 its reverse (662165), we get a palindrome (56788765).

The spelling of 56126600 in words is "fifty-six million, one hundred twenty-six thousand, six hundred".