533306268 has 144 divisors (see below), whose sum is σ = 1575275520. Its totient is φ = 156297600.

The previous prime is 533306261. The next prime is 533306281. The reversal of 533306268 is 862603335.

It is a happy number.

533306268 is a `hidden beast` number, since 533 + 3 + 0 + 62 + 68 = 666.

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 (533306261) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 330648 + ... + 332256.

Almost surely, 2^533306268 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 533306268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (787637760).

533306268 is an abundant number, since it is smaller than the sum of its proper divisors (1041969252).

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

533306268 is a wasteful number, since it uses less digits than its factorization.

533306268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1670 (or 1656 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 533306268 is about 23093.4247784949. The cubic root of 533306268 is about 810.9465477757.

The spelling of 533306268 in words is "five hundred thirty-three million, three hundred six thousand, two hundred sixty-eight".