7996968 has 160 divisors (see below), whose sum is σ = 26832960. Its totient is φ = 2177280.

The previous prime is 7996957. The next prime is 7996969. The reversal of 7996968 is 8696997.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (1469664) is a multiple of the sum of its prime divisors (96).

It is not an unprimeable number, because it can be changed into a prime (7996969) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 185955 + ... + 185997.

It is an arithmetic number, because the mean of its divisors is an integer number (167706).

Almost surely, 2^7996968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7996968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13416480).

7996968 is an abundant number, since it is smaller than the sum of its proper divisors (18835992).

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

7996968 is a wasteful number, since it uses less digits than its factorization.

7996968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 96 counting only the distinct ones).

The product of its digits is 1469664, while the sum is 54.

The square root of 7996968 is about 2827.8910870117. The cubic root of 7996968 is about 199.9747301406.

The spelling of 7996968 in words is "seven million, nine hundred ninety-six thousand, nine hundred sixty-eight".