533068800 has 264 divisors, whose sum is σ = 1925031552. Its totient is φ = 129024000.

The previous prime is 533068787. The next prime is 533068819. The reversal of 533068800 is 8860335.

It is a tau number, because it is divible by the number of its divisors (264).

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 844485 + ... + 845115.

Almost surely, 2^533068800 is an apocalyptic number.

533068800 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 533068800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (962515776).

533068800 is an abundant number, since it is smaller than the sum of its proper divisors (1391962752).

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

533068800 is a wasteful number, since it uses less digits than its factorization.

533068800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 675 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 533068800 is about 23088.2827425515. The cubic root of 533068800 is about 810.8261651387.

The spelling of 533068800 in words is "five hundred thirty-three million, sixty-eight thousand, eight hundred".