7968042 has 24 divisors (see below), whose sum is σ = 17524416. Its totient is φ = 2615976.

The previous prime is 7968031. The next prime is 7968043. The reversal of 7968042 is 2408697.

It is a d-powerful number, because it can be written as 7⁸ + 9 + 6⁵ + 8⁵ + 0 + 4⁸ + 2²¹ .

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 7967988 and 7968006.

It is not an unprimeable number, because it can be changed into a prime (7968043) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2098 + ... + 4509.

It is an arithmetic number, because the mean of its divisors is an integer number (730184).

Almost surely, 2^7968042 is an apocalyptic number.

7968042 is an abundant number, since it is smaller than the sum of its proper divisors (9556374).

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

7968042 is a wasteful number, since it uses less digits than its factorization.

7968042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6682 (or 6679 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 7968042 is about 2822.7720418057. The cubic root of 7968042 is about 199.7333279214.

It can be divided in two parts, 79 and 68042, that added together give a square (68121 = 261²).

The spelling of 7968042 in words is "seven million, nine hundred sixty-eight thousand, forty-two".