1329574656 has 72 divisors (see below), whose sum is σ = 3544173360. Its totient is φ = 442494976.

The previous prime is 1329574643. The next prime is 1329574669. The reversal of 1329574656 is 6564759231.

It is an interprime number because it is at equal distance from previous prime (1329574643) and next prime (1329574669).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 777130 + ... + 778838.

It is an arithmetic number, because the mean of its divisors is an integer number (49224630).

Almost surely, 2^1329574656 is an apocalyptic number.

1329574656 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 1329574656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1772086680).

1329574656 is an abundant number, since it is smaller than the sum of its proper divisors (2214598704).

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

1329574656 is a wasteful number, since it uses less digits than its factorization.

1329574656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2741 (or 2727 counting only the distinct ones).

The product of its digits is 1360800, while the sum is 48.

The square root of 1329574656 is about 36463.3330347076. Note that the first 3 decimals coincide. The cubic root of 1329574656 is about 1099.6072030042.

The spelling of 1329574656 in words is "one billion, three hundred twenty-nine million, five hundred seventy-four thousand, six hundred fifty-six".