1329415560 has 192 divisors, whose sum is σ = 4961736000. Its totient is φ = 305303040.

The previous prime is 1329415547. The next prime is 1329415561. The reversal of 1329415560 is 655149231.

1329415560 is a `hidden beast` number, since 1 + 3 + 2 + 94 + 1 + 5 + 560 = 666.

It is a super-2 number, since 2×1329415560² = 3534691462340227200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1329415561) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 66406 + ... + 84074.

It is an arithmetic number, because the mean of its divisors is an integer number (25842375).

Almost surely, 2^1329415560 is an apocalyptic number.

1329415560 is a gapful number since it is divisible by the number (10) 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 1329415560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2480868000).

1329415560 is an abundant number, since it is smaller than the sum of its proper divisors (3632320440).

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

1329415560 is a wasteful number, since it uses less digits than its factorization.

1329415560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17716 (or 17709 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 1329415560 is about 36461.1513806133. The cubic root of 1329415560 is about 1099.5633418378.

The spelling of 1329415560 in words is "one billion, three hundred twenty-nine million, four hundred fifteen thousand, five hundred sixty".