7968385 has 8 divisors (see below), whose sum is σ = 9585576. Its totient is φ = 6359040.

The previous prime is 7968379. The next prime is 7968409. The reversal of 7968385 is 5838697.

It can be written as a sum of positive squares in 4 ways, for example, as 83521 + 7884864 = 289^2 + 2808^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a de Polignac number, because none of the positive numbers 2^k-7968385 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 577 + ... + 4033.

It is an arithmetic number, because the mean of its divisors is an integer number (1198197).

Almost surely, 2^7968385 is an apocalyptic number.

7968385 is the 2305-th pentagonal number.

It is an amenable number.

7968385 is a deficient number, since it is larger than the sum of its proper divisors (1617191).

7968385 is a wasteful number, since it uses less digits than its factorization.

7968385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3923.

The product of its digits is 362880, while the sum is 46.

The square root of 7968385 is about 2822.8327970321. The cubic root of 7968385 is about 199.7361938512.

The spelling of 7968385 in words is "seven million, nine hundred sixty-eight thousand, three hundred eighty-five".