7968240 has 320 divisors, whose sum is σ = 34283520. Its totient is φ = 1658880.

The previous prime is 7968229. The next prime is 7968299. The reversal of 7968240 is 428697.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 7968195 and 7968204.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 257025 + ... + 257055.

It is an arithmetic number, because the mean of its divisors is an integer number (107136).

Almost surely, 2^7968240 is an apocalyptic number.

7968240 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7968240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17141760).

7968240 is an abundant number, since it is smaller than the sum of its proper divisors (26315280).

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

7968240 is a wasteful number, since it uses less digits than its factorization.

7968240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 65 counting only the distinct ones).

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

The square root of 7968240 is about 2822.8071134954. The cubic root of 7968240 is about 199.7349823166.

The spelling of 7968240 in words is "seven million, nine hundred sixty-eight thousand, two hundred forty".