1352832 has 64 divisors (see below), whose sum is σ = 3884160. Its totient is φ = 414720.

The previous prime is 1352807. The next prime is 1352839. The reversal of 1352832 is 2382531.

1352832 is nontrivially palindromic in base 11.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is not an unprimeable number, because it can be changed into a prime (1352839) 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, 4857 + ... + 5127.

It is an arithmetic number, because the mean of its divisors is an integer number (60690).

2^1352832 is an apocalyptic number.

1352832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1352832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1942080).

1352832 is an abundant number, since it is smaller than the sum of its proper divisors (2531328).

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

1352832 is a wasteful number, since it uses less digits than its factorization.

1352832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 289 counting only the distinct ones).

The product of its digits is 1440, while the sum is 24.

The square root of 1352832 is about 1163.1130641515. The cubic root of 1352832 is about 110.5981737755.

It can be divided in two parts, 1352 and 832, that multiplied together give a cube (1124864 = 104³).

The spelling of 1352832 in words is "one million, three hundred fifty-two thousand, eight hundred thirty-two".