7686140 has 144 divisors (see below), whose sum is σ = 22063104. Its totient is φ = 2217600.

The previous prime is 7686139. The next prime is 7686143. The reversal of 7686140 is 416867.

It is a junction number, because it is equal to n+sod(n) for n = 7686097 and 7686106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7686143) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 247925 + ... + 247955.

It is an arithmetic number, because the mean of its divisors is an integer number (153216).

Almost surely, 2^7686140 is an apocalyptic number.

7686140 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 7686140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11031552).

7686140 is an abundant number, since it is smaller than the sum of its proper divisors (14376964).

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

7686140 is a wasteful number, since it uses less digits than its factorization.

7686140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 7686140 is about 2772.3888616138. The cubic root of 7686140 is about 197.3495302122.

The spelling of 7686140 in words is "seven million, six hundred eighty-six thousand, one hundred forty".