7689984 has 144 divisors (see below), whose sum is σ = 23546880. Its totient is φ = 2211840.

The previous prime is 7689973. The next prime is 7690013. The reversal of 7689984 is 4899867.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

Its product of digits (870912) is a multiple of the sum of its prime divisors (72).

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, 248049 + ... + 248079.

It is an arithmetic number, because the mean of its divisors is an integer number (163520).

Almost surely, 2^7689984 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 7689984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11773440).

7689984 is an abundant number, since it is smaller than the sum of its proper divisors (15856896).

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

7689984 is a wasteful number, since it uses less digits than its factorization.

7689984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 72 counting only the distinct ones).

The product of its digits is 870912, while the sum is 51.

The square root of 7689984 is about 2773.0820398971. The cubic root of 7689984 is about 197.3824242771.

The spelling of 7689984 in words is "seven million, six hundred eighty-nine thousand, nine hundred eighty-four".