7682944 has 32 divisors (see below), whose sum is σ = 15434640. Its totient is φ = 3809280.

The previous prime is 7682923. The next prime is 7682951. The reversal of 7682944 is 4492867.

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 7682897 and 7682906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 24549 + ... + 24859.

Almost surely, 2^7682944 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 7682944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7717320).

7682944 is an abundant number, since it is smaller than the sum of its proper divisors (7751696).

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

7682944 is a wasteful number, since it uses less digits than its factorization.

7682944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 506 counting only the distinct ones).

The product of its digits is 96768, while the sum is 40.

The square root of 7682944 is about 2771.8124034646. The cubic root of 7682944 is about 197.3221728937.

The spelling of 7682944 in words is "seven million, six hundred eighty-two thousand, nine hundred forty-four".