1329826032 has 80 divisors (see below), whose sum is σ = 3831218080. Its totient is φ = 441635328.

The previous prime is 1329826031. The next prime is 1329826033. The reversal of 1329826032 is 2306289231.

It is an interprime number because it is at equal distance from previous prime (1329826031) and next prime (1329826033).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1329826031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 114108 + ... + 125220.

It is an arithmetic number, because the mean of its divisors is an integer number (47890226).

Almost surely, 2^1329826032 is an apocalyptic number.

1329826032 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 1329826032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1915609040).

1329826032 is an abundant number, since it is smaller than the sum of its proper divisors (2501392048).

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

1329826032 is a wasteful number, since it uses less digits than its factorization.

1329826032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11407 (or 11395 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 1329826032 is about 36466.7798413844. The cubic root of 1329826032 is about 1099.6764977070.

The spelling of 1329826032 in words is "one billion, three hundred twenty-nine million, eight hundred twenty-six thousand, thirty-two".