56626100 has 36 divisors (see below), whose sum is σ = 124577964. Its totient is φ = 22337280.

The previous prime is 56626093. The next prime is 56626103. The reversal of 56626100 is 162665.

It can be written as a sum of positive squares in 6 ways, for example, as 256036 + 56370064 = 506^2 + 7508^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 56626100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56626103) by changing a digit.

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, 3422 + ... + 11178.

It is an arithmetic number, because the mean of its divisors is an integer number (3460499).

Almost surely, 2^56626100 is an apocalyptic number.

56626100 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 56626100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62288982).

56626100 is an abundant number, since it is smaller than the sum of its proper divisors (67951864).

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

56626100 is a wasteful number, since it uses less digits than its factorization.

56626100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7844 (or 7837 counting only the distinct ones).

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

The square root of 56626100 is about 7525.0315613956. The cubic root of 56626100 is about 384.0067725223.

Adding to 56626100 its reverse (162665), we get a palindrome (56788765).

The spelling of 56626100 in words is "fifty-six million, six hundred twenty-six thousand, one hundred".