7627968 has 168 divisors, whose sum is σ = 24963120. Its totient is φ = 2211840.

The previous prime is 7627943. The next prime is 7627969. The reversal of 7627968 is 8697267.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (7627969) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 186028 + ... + 186068.

It is an arithmetic number, because the mean of its divisors is an integer number (148590).

Almost surely, 2^7627968 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 7627968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12481560).

7627968 is an abundant number, since it is smaller than the sum of its proper divisors (17335152).

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

7627968 is a wasteful number, since it uses less digits than its factorization.

7627968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 82 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The square root of 7627968 is about 2761.8776221983. The cubic root of 7627968 is about 196.8503935989.

The spelling of 7627968 in words is "seven million, six hundred twenty-seven thousand, nine hundred sixty-eight".