1536832 has 56 divisors (see below), whose sum is σ = 3474720. Its totient is φ = 668160.

The previous prime is 1536823. The next prime is 1536839. The reversal of 1536832 is 2386351.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1536832.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1536839) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26019 + ... + 26077.

2^1536832 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 1536832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1737360).

1536832 is an abundant number, since it is smaller than the sum of its proper divisors (1937888).

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

1536832 is a wasteful number, since it uses less digits than its factorization.

1536832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 109 counting only the distinct ones).

The product of its digits is 4320, while the sum is 28.

The square root of 1536832 is about 1239.6902839016. The cubic root of 1536832 is about 115.4007943581.

It can be divided in two parts, 15368 and 32, that added together give a triangular number (15400 = T₁₇₅).

The spelling of 1536832 in words is "one million, five hundred thirty-six thousand, eight hundred thirty-two".