535966800 has 120 divisors (see below), whose sum is σ = 1722973056. Its totient is φ = 142417920.

The previous prime is 535966789. The next prime is 535966817. The reversal of 535966800 is 8669535.

It is a tau number, because it is divible by the number of its divisors (120).

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, 439792 + ... + 441008.

Almost surely, 2^535966800 is an apocalyptic number.

535966800 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 535966800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (861486528).

535966800 is an abundant number, since it is smaller than the sum of its proper divisors (1187006256).

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

535966800 is a wasteful number, since it uses less digits than its factorization.

535966800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1605 (or 1594 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 42.

The square root of 535966800 is about 23150.9567836839. The cubic root of 535966800 is about 812.2928481761.

The spelling of 535966800 in words is "five hundred thirty-five million, nine hundred sixty-six thousand, eight hundred".