533664000 has 432 divisors, whose sum is σ = 2051889840. Its totient is φ = 132710400.

The previous prime is 533663993. The next prime is 533664007. The reversal of 533664000 is 466335.

It is an interprime number because it is at equal distance from previous prime (533663993) and next prime (533664007).

It can be written as a sum of positive squares in 8 ways, for example, as 65028096 + 468635904 = 8064^2 + 21648^2 .

It is not an unprimeable number, because it can be changed into a prime (533664007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4895946 + ... + 4896054.

It is an arithmetic number, because the mean of its divisors is an integer number (4749745).

Almost surely, 2^533664000 is an apocalyptic number.

533664000 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 533664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1025944920).

533664000 is an abundant number, since it is smaller than the sum of its proper divisors (1518225840).

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

533664000 is a wasteful number, since it uses less digits than its factorization.

533664000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 533664000 is about 23101.1688015996. The cubic root of 533664000 is about 811.1278299064.

The spelling of 533664000 in words is "five hundred thirty-three million, six hundred sixty-four thousand".