1332580032 has 224 divisors, whose sum is σ = 4588093440. Its totient is φ = 371312640.

The previous prime is 1332580027. The next prime is 1332580079. The reversal of 1332580032 is 2300852331.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1332579978 and 1332580005.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 494593 + ... + 497279.

It is an arithmetic number, because the mean of its divisors is an integer number (20482560).

Almost surely, 2^1332580032 is an apocalyptic number.

1332580032 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 1332580032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2294046720).

1332580032 is an abundant number, since it is smaller than the sum of its proper divisors (3255513408).

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

1332580032 is a wasteful number, since it uses less digits than its factorization.

1332580032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2756 (or 2740 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 1332580032 is about 36504.5207063454. The cubic root of 1332580032 is about 1100.4350984002.

The spelling of 1332580032 in words is "one billion, three hundred thirty-two million, five hundred eighty thousand, thirty-two".