7968415 has 32 divisors (see below), whose sum is σ = 11966976. Its totient is φ = 4959360.

The previous prime is 7968413. The next prime is 7968449. The reversal of 7968415 is 5148697.

It is not a de Polignac number, because 7968415 - 2¹ = 7968413 is a prime.

It is a super-2 number, since 2×7968415² = 126991275224450, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7968413) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37660 + ... + 37870.

It is an arithmetic number, because the mean of its divisors is an integer number (373968).

Almost surely, 2^7968415 is an apocalyptic number.

7968415 is a deficient number, since it is larger than the sum of its proper divisors (3998561).

7968415 is a wasteful number, since it uses less digits than its factorization.

7968415 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319.

The product of its digits is 60480, while the sum is 40.

The square root of 7968415 is about 2822.8381108381. The cubic root of 7968415 is about 199.7364445117.

The spelling of 7968415 in words is "seven million, nine hundred sixty-eight thousand, four hundred fifteen".