7824968 has 36 divisors (see below), whose sum is σ = 15702435. Its totient is φ = 3655344.

The previous prime is 7824961. The next prime is 7824977. The reversal of 7824968 is 8694287.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 3912484 + 3912484 = 1978^2 + 1978^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=1978.

It is a super-2 number, since 2×7824968² = 122460248402048, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7824961) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 181955 + ... + 181997.

Almost surely, 2^7824968 is an apocalyptic number.

It is an amenable number.

7824968 is an abundant number, since it is smaller than the sum of its proper divisors (7877467).

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

7824968 is a wasteful number, since it uses less digits than its factorization.

7824968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 68 counting only the distinct ones).

The product of its digits is 193536, while the sum is 44.

The square root of 7824968 is about 2797.3144263740. The cubic root of 7824968 is about 198.5306312138.

The spelling of 7824968 in words is "seven million, eight hundred twenty-four thousand, nine hundred sixty-eight".