7009968 has 80 divisors (see below), whose sum is σ = 21395456. Its totient is φ = 1935360.

The previous prime is 7009921. The next prime is 7009969. The reversal of 7009968 is 8699007.

It is a super-2 number, since 2×7009968² = 98279302722048, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (7009969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10080 + ... + 10752.

Almost surely, 2^7009968 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 7009968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10697728).

7009968 is an abundant number, since it is smaller than the sum of its proper divisors (14385488).

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

7009968 is a wasteful number, since it uses less digits than its factorization.

7009968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722 (or 716 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 39.

The square root of 7009968 is about 2647.6344158513. The cubic root of 7009968 is about 191.3838756782.

The spelling of 7009968 in words is "seven million, nine thousand, nine hundred sixty-eight".