1533984 has 72 divisors (see below), whose sum is σ = 4389840. Its totient is φ = 467712.

The previous prime is 1533977. The next prime is 1534019. The reversal of 1533984 is 4893351.

Its product of digits (12960) is a multiple of the sum of its prime factors (90).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52882 + ... + 52910.

It is an arithmetic number, because the mean of its divisors is an integer number (60970).

2^1533984 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 1533984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2194920).

1533984 is an abundant number, since it is smaller than the sum of its proper divisors (2855856).

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

1533984 is a wasteful number, since it uses less digits than its factorization.

1533984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 53 counting only the distinct ones).

The product of its digits is 12960, while the sum is 33.

The square root of 1533984 is about 1238.5410772356. The cubic root of 1533984 is about 115.3294647891.

The spelling of 1533984 in words is "one million, five hundred thirty-three thousand, nine hundred eighty-four".