1329225660 has 192 divisors, whose sum is σ = 4931942400. Its totient is φ = 290594304.

The previous prime is 1329225647. The next prime is 1329225671. The reversal of 1329225660 is 665229231.

1329225660 = T₃₉₃ + T₃₉₄ + ... + T₂₀₀₂.

1329225660 is a `hidden beast` number, since 1 + 3 + 2 + 92 + 2 + 566 + 0 = 666.

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

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, 79296 + ... + 94584.

It is an arithmetic number, because the mean of its divisors is an integer number (25687200).

Almost surely, 2^1329225660 is an apocalyptic number.

1329225660 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 1329225660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2465971200).

1329225660 is an abundant number, since it is smaller than the sum of its proper divisors (3602716740).

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

1329225660 is a wasteful number, since it uses less digits than its factorization.

1329225660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15337 (or 15329 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 1329225660 is about 36458.5471460397. The cubic root of 1329225660 is about 1099.5109837370.

The spelling of 1329225660 in words is "one billion, three hundred twenty-nine million, two hundred twenty-five thousand, six hundred sixty".