1321039368 has 192 divisors, whose sum is σ = 4083206400. Its totient is φ = 396809280.

The previous prime is 1321039361. The next prime is 1321039397. The reversal of 1321039368 is 8639301231.

1321039368 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (1321039361) 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, 3485403 + ... + 3485781.

It is an arithmetic number, because the mean of its divisors is an integer number (21266700).

Almost surely, 2^1321039368 is an apocalyptic number.

1321039368 is a gapful number since it is divisible by the number (18) 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 1321039368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2041603200).

1321039368 is an abundant number, since it is smaller than the sum of its proper divisors (2762167032).

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

1321039368 is a wasteful number, since it uses less digits than its factorization.

1321039368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 1321039368 is about 36346.1052659016. The cubic root of 1321039368 is about 1097.2491507299.

The spelling of 1321039368 in words is "one billion, three hundred twenty-one million, thirty-nine thousand, three hundred sixty-eight".