532666800 has 480 divisors, whose sum is σ = 2056693760. Its totient is φ = 130636800.

The previous prime is 532666789. The next prime is 532666807. The reversal of 532666800 is 8666235.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (532666807) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12387579 + ... + 12387621.

Almost surely, 2^532666800 is an apocalyptic number.

532666800 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 532666800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1028346880).

532666800 is an abundant number, since it is smaller than the sum of its proper divisors (1524026960).

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

532666800 is a wasteful number, since it uses less digits than its factorization.

532666800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 532666800 is about 23079.5753860421. The cubic root of 532666800 is about 810.6222927124.

The spelling of 532666800 in words is "five hundred thirty-two million, six hundred sixty-six thousand, eight hundred".