7868140 has 48 divisors (see below), whose sum is σ = 19337472. Its totient is φ = 2632896.

The previous prime is 7868137. The next prime is 7868153. The reversal of 7868140 is 418687.

It is a happy number.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 7868096 and 7868105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5367 + ... + 6673.

It is an arithmetic number, because the mean of its divisors is an integer number (402864).

Almost surely, 2^7868140 is an apocalyptic number.

7868140 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 7868140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9668736).

7868140 is an abundant number, since it is smaller than the sum of its proper divisors (11469332).

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

7868140 is a wasteful number, since it uses less digits than its factorization.

7868140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1366 (or 1364 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 34.

The square root of 7868140 is about 2805.0204990338. The cubic root of 7868140 is about 198.8950735962.

It can be divided in two parts, 7868 and 140, that added together give a palindrome (8008).

The spelling of 7868140 in words is "seven million, eight hundred sixty-eight thousand, one hundred forty".