1533264 has 40 divisors (see below), whose sum is σ = 4196160. Its totient is φ = 480768.

The previous prime is 1533239. The next prime is 1533283. The reversal of 1533264 is 4623351.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 124 + ... + 1755.

It is an arithmetic number, because the mean of its divisors is an integer number (104904).

2^1533264 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 1533264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2098080).

1533264 is an abundant number, since it is smaller than the sum of its proper divisors (2662896).

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

1533264 is a wasteful number, since it uses less digits than its factorization.

1533264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1907 (or 1901 counting only the distinct ones).

The product of its digits is 2160, while the sum is 24.

The square root of 1533264 is about 1238.2503785584. The cubic root of 1533264 is about 115.3114180538.

The spelling of 1533264 in words is "one million, five hundred thirty-three thousand, two hundred sixty-four".