533208960 has 256 divisors, whose sum is σ = 1924128000. Its totient is φ = 139511808.

The previous prime is 533208953. The next prime is 533208967. The reversal of 533208960 is 69802335.

It is an interprime number because it is at equal distance from previous prime (533208953) and next prime (533208967).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (533208967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1019259 + ... + 1019781.

It is an arithmetic number, because the mean of its divisors is an integer number (7516125).

Almost surely, 2^533208960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 533208960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (962064000).

533208960 is an abundant number, since it is smaller than the sum of its proper divisors (1390919040).

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

533208960 is a wasteful number, since it uses less digits than its factorization.

533208960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 610 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 533208960 is about 23091.3178489232. The cubic root of 533208960 is about 810.8972225309.

The spelling of 533208960 in words is "five hundred thirty-three million, two hundred eight thousand, nine hundred sixty".