536056800 has 144 divisors (see below), whose sum is σ = 1752356592. Its totient is φ = 142336000.

The previous prime is 536056783. The next prime is 536056811. The reversal of 536056800 is 8650635.

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, 962122 + ... + 962678.

It is an arithmetic number, because the mean of its divisors is an integer number (12169143).

Almost surely, 2^536056800 is an apocalyptic number.

536056800 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 536056800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (876178296).

536056800 is an abundant number, since it is smaller than the sum of its proper divisors (1216299792).

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

536056800 is a wasteful number, since it uses less digits than its factorization.

536056800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 981 (or 968 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 536056800 is about 23152.9004662483. The cubic root of 536056800 is about 812.3383125995.

The spelling of 536056800 in words is "five hundred thirty-six million, fifty-six thousand, eight hundred".