7688464 has 40 divisors (see below), whose sum is σ = 17925440. Its totient is φ = 3120768.

The previous prime is 7688459. The next prime is 7688491. The reversal of 7688464 is 4648867.

It is a super-2 number, since 2×7688464² = 118224957358592, which contains 22 as substring.

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 7688464.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 322 + ... + 3934.

It is an arithmetic number, because the mean of its divisors is an integer number (448136).

Almost surely, 2^7688464 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 7688464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8962720).

7688464 is an abundant number, since it is smaller than the sum of its proper divisors (10236976).

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

7688464 is a wasteful number, since it uses less digits than its factorization.

7688464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3647 (or 3641 counting only the distinct ones).

The product of its digits is 258048, while the sum is 43.

The square root of 7688464 is about 2772.8079630584. The cubic root of 7688464 is about 197.3694185693.

The spelling of 7688464 in words is "seven million, six hundred eighty-eight thousand, four hundred sixty-four".