533001120 has 96 divisors (see below), whose sum is σ = 1684888128. Its totient is φ = 141631488.

The previous prime is 533001113. The next prime is 533001137. The reversal of 533001120 is 21100335.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 533001120.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 145552 + ... + 149168.

It is an arithmetic number, because the mean of its divisors is an integer number (17550918).

Almost surely, 2^533001120 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 533001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (842444064).

533001120 is an abundant number, since it is smaller than the sum of its proper divisors (1151887008).

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

533001120 is a wasteful number, since it uses less digits than its factorization.

533001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3942 (or 3934 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 533001120 is about 23086.8170175102. The cubic root of 533001120 is about 810.7918487193.

Adding to 533001120 its reverse (21100335), we get a palindrome (554101455).

The spelling of 533001120 in words is "five hundred thirty-three million, one thousand, one hundred twenty".