56133600 has 144 divisors (see below), whose sum is σ = 192487680. Its totient is φ = 14169600.

The previous prime is 56133587. The next prime is 56133667. The reversal of 56133600 is 633165.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 44985 + ... + 46215.

It is an arithmetic number, because the mean of its divisors is an integer number (1336720).

Almost surely, 2^56133600 is an apocalyptic number.

56133600 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 56133600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96243840).

56133600 is an abundant number, since it is smaller than the sum of its proper divisors (136354080).

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

56133600 is a wasteful number, since it uses less digits than its factorization.

56133600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1273 (or 1260 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 24.

The square root of 56133600 is about 7492.2359813343. The cubic root of 56133600 is about 382.8902420757.

Adding to 56133600 its reverse (633165), we get a palindrome (56766765).

The spelling of 56133600 in words is "fifty-six million, one hundred thirty-three thousand, six hundred".