7609968 has 60 divisors (see below), whose sum is σ = 21810360. Its totient is φ = 2475648.

The previous prime is 7609963. The next prime is 7610003. The reversal of 7609968 is 8699067.

It is a super-3 number, since 3×7609968³ (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7609963) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 5578 + ... + 6806.

It is an arithmetic number, because the mean of its divisors is an integer number (363506).

Almost surely, 2^7609968 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 7609968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10905180).

7609968 is an abundant number, since it is smaller than the sum of its proper divisors (14200392).

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

7609968 is a wasteful number, since it uses less digits than its factorization.

7609968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1286 (or 1277 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 7609968 is about 2758.6170448252. The cubic root of 7609968 is about 196.6954332462.

It can be divided in two parts, 76099 and 68, that added together give a palindrome (76167).

The spelling of 7609968 in words is "seven million, six hundred nine thousand, nine hundred sixty-eight".