1332991296 has 448 divisors, whose sum is σ = 4949952000. Its totient is φ = 349526016.

The previous prime is 1332991273. The next prime is 1332991313. The reversal of 1332991296 is 6921992331.

It is a tau number, because it is divible by the number of its divisors (448).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7705066 + ... + 7705238.

It is an arithmetic number, because the mean of its divisors is an integer number (11049000).

Almost surely, 2^1332991296 is an apocalyptic number.

1332991296 is a gapful number since it is divisible by the number (16) 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 1332991296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2474976000).

1332991296 is an abundant number, since it is smaller than the sum of its proper divisors (3616960704).

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

1332991296 is a wasteful number, since it uses less digits than its factorization.

1332991296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 198 counting only the distinct ones).

The product of its digits is 157464, while the sum is 45.

The square root of 1332991296 is about 36510.1533275334. The cubic root of 1332991296 is about 1100.5482930501.

The spelling of 1332991296 in words is "one billion, three hundred thirty-two million, nine hundred ninety-one thousand, two hundred ninety-six".