7684140 has 48 divisors (see below), whose sum is σ = 21788928. Its totient is φ = 2023104.

The previous prime is 7684133. The next prime is 7684147. The reversal of 7684140 is 414867.

It is an interprime number because it is at equal distance from previous prime (7684133) and next prime (7684147).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 7684098 and 7684107.

It is not an unprimeable number, because it can be changed into a prime (7684147) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4209 + ... + 5751.

It is an arithmetic number, because the mean of its divisors is an integer number (453936).

Almost surely, 2^7684140 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 7684140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10894464).

7684140 is an abundant number, since it is smaller than the sum of its proper divisors (14104788).

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

7684140 is a wasteful number, since it uses less digits than its factorization.

7684140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1638 (or 1636 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 7684140 is about 2772.0281383853. The cubic root of 7684140 is about 197.3324113767.

The spelling of 7684140 in words is "seven million, six hundred eighty-four thousand, one hundred forty".