7688616 has 64 divisors (see below), whose sum is σ = 21806400. Its totient is φ = 2239488.

The previous prime is 7688591. The next prime is 7688627. The reversal of 7688616 is 6168867.

It is a super-3 number, since 3×7688616³ (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

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 15 ways as a sum of consecutive naturals, for example, 5280 + ... + 6576.

It is an arithmetic number, because the mean of its divisors is an integer number (340725).

Almost surely, 2^7688616 is an apocalyptic number.

7688616 is a gapful number since it is divisible by the number (76) 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 7688616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10903200).

7688616 is an abundant number, since it is smaller than the sum of its proper divisors (14117784).

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

7688616 is a wasteful number, since it uses less digits than its factorization.

7688616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1338 (or 1334 counting only the distinct ones).

The product of its digits is 96768, while the sum is 42.

The square root of 7688616 is about 2772.8353719613. The cubic root of 7688616 is about 197.3707192172.

It can be divided in two parts, 768861 and 6, that added together give a palindrome (768867).

The spelling of 7688616 in words is "seven million, six hundred eighty-eight thousand, six hundred sixteen".