533617920 has 216 divisors, whose sum is σ = 2014582752. Its totient is φ = 129331200.

The previous prime is 533617897. The next prime is 533617937. The reversal of 533617920 is 29716335.

533617920 is a `hidden beast` number, since 5 + 33 + 617 + 9 + 2 + 0 = 666.

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

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, 124615 + ... + 128825.

It is an arithmetic number, because the mean of its divisors is an integer number (9326772).

Almost surely, 2^533617920 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 533617920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1007291376).

533617920 is an abundant number, since it is smaller than the sum of its proper divisors (1480964832).

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

533617920 is a wasteful number, since it uses less digits than its factorization.

533617920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4249 (or 4232 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 533617920 is about 23100.1714279353. The cubic root of 533617920 is about 811.1044832274.

The spelling of 533617920 in words is "five hundred thirty-three million, six hundred seventeen thousand, nine hundred twenty".