7960608 has 72 divisors (see below), whose sum is σ = 22918896. Its totient is φ = 2620800.

The previous prime is 7960571. The next prime is 7960609. The reversal of 7960608 is 8060697.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (7960609) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37623 + ... + 37833.

It is an arithmetic number, because the mean of its divisors is an integer number (318318).

Almost surely, 2^7960608 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 7960608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11459448).

7960608 is an abundant number, since it is smaller than the sum of its proper divisors (14958288).

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

7960608 is a wasteful number, since it uses less digits than its factorization.

7960608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 7960608 is about 2821.4549438189. The cubic root of 7960608 is about 199.6711930596.

The spelling of 7960608 in words is "seven million, nine hundred sixty thousand, six hundred eight".