56253600 has 216 divisors, whose sum is σ = 213978492. Its totient is φ = 13824000.

The previous prime is 56253583. The next prime is 56253601. The reversal of 56253600 is 635265.

56253600 is a `hidden beast` number, since 5 + 6 + 2 + 53 + 600 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 19820304 + 36433296 = 4452^2 + 6036^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56253601) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 93300 + ... + 93900.

Almost surely, 2^56253600 is an apocalyptic number.

56253600 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 56253600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106989246).

56253600 is an abundant number, since it is smaller than the sum of its proper divisors (157724892).

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

56253600 is a wasteful number, since it uses less digits than its factorization.

56253600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 56253600 is about 7500.2399961601. The cubic root of 56253600 is about 383.1628899897.

Adding to 56253600 its reverse (635265), we get a palindrome (56888865).

It can be divided in two parts, 5625 and 3600, that multiplied together give a square (20250000 = 4500²).

The spelling of 56253600 in words is "fifty-six million, two hundred fifty-three thousand, six hundred".