1329240816 has 120 divisors (see below), whose sum is σ = 3862609920. Its totient is φ = 426268800.

The previous prime is 1329240791. The next prime is 1329240821. The reversal of 1329240816 is 6180429231.

It is a super-2 number, since 2×1329240816² = 3533762293840691712, which contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 851845 + ... + 853403.

It is an arithmetic number, because the mean of its divisors is an integer number (32188416).

Almost surely, 2^1329240816 is an apocalyptic number.

1329240816 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 1329240816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1931304960).

1329240816 is an abundant number, since it is smaller than the sum of its proper divisors (2533369104).

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

1329240816 is a wasteful number, since it uses less digits than its factorization.

1329240816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1795 (or 1786 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1329240816 is about 36458.7549979425. The cubic root of 1329240816 is about 1099.5151626424.

The spelling of 1329240816 in words is "one billion, three hundred twenty-nine million, two hundred forty thousand, eight hundred sixteen".