532536800 has 72 divisors (see below), whose sum is σ = 1309681800. Its totient is φ = 211438080.

The previous prime is 532536799. The next prime is 532536803. The reversal of 532536800 is 8635235.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (532536803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 108806 + ... + 113594.

It is an arithmetic number, because the mean of its divisors is an integer number (18190025).

Almost surely, 2^532536800 is an apocalyptic number.

532536800 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 532536800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654840900).

532536800 is an abundant number, since it is smaller than the sum of its proper divisors (777145000).

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

532536800 is a wasteful number, since it uses less digits than its factorization.

532536800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4948 (or 4935 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 32.

The square root of 532536800 is about 23076.7588712107. The cubic root of 532536800 is about 810.5563418703.

The spelling of 532536800 in words is "five hundred thirty-two million, five hundred thirty-six thousand, eight hundred".