533646920 has 64 divisors (see below), whose sum is σ = 1318896000. Its totient is φ = 193425408.

The previous prime is 533646913. The next prime is 533646929. The reversal of 533646920 is 29646335.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is not an unprimeable number, because it can be changed into a prime (533646929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2216 + ... + 32744.

It is an arithmetic number, because the mean of its divisors is an integer number (20607750).

Almost surely, 2^533646920 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 533646920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659448000).

533646920 is an abundant number, since it is smaller than the sum of its proper divisors (785249080).

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

533646920 is a wasteful number, since it uses less digits than its factorization.

533646920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30582 (or 30578 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 38.

The square root of 533646920 is about 23100.7991203768. The cubic root of 533646920 is about 811.1191763896.

The spelling of 533646920 in words is "five hundred thirty-three million, six hundred forty-six thousand, nine hundred twenty".