1321968375 has 192 divisors, whose sum is σ = 3020908800. Its totient is φ = 541209600.

The previous prime is 1321968341. The next prime is 1321968391. The reversal of 1321968375 is 5738691231.

1321968375 is a `hidden beast` number, since 1 + 3 + 219 + 68 + 375 = 666.

It is not a de Polignac number, because 1321968375 - 2⁹ = 1321967863 is a prime.

It is a hoax number, since the sum of its digits (45) 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 (45).

It is a self number, because there is not a number n which added to its sum of digits gives 1321968375.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3787701 + ... + 3788049.

It is an arithmetic number, because the mean of its divisors is an integer number (15733900).

Almost surely, 2^1321968375 is an apocalyptic number.

1321968375 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1321968375 is an abundant number, since it is smaller than the sum of its proper divisors (1698940425).

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

1321968375 is a wasteful number, since it uses less digits than its factorization.

1321968375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 414 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 1321968375 is about 36358.8830273979. The cubic root of 1321968375 is about 1097.5063000903.

The spelling of 1321968375 in words is "one billion, three hundred twenty-one million, nine hundred sixty-eight thousand, three hundred seventy-five".