7616128 has 64 divisors (see below), whose sum is σ = 17136000. Its totient is φ = 3345408.

The previous prime is 7616123. The next prime is 7616137. The reversal of 7616128 is 8216167.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 7616128.

It is not an unprimeable number, because it can be changed into a prime (7616123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38173 + ... + 38371.

It is an arithmetic number, because the mean of its divisors is an integer number (267750).

Almost surely, 2^7616128 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 7616128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8568000).

7616128 is an abundant number, since it is smaller than the sum of its proper divisors (9519872).

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

7616128 is a wasteful number, since it uses less digits than its factorization.

7616128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 237 counting only the distinct ones).

The product of its digits is 4032, while the sum is 31.

The square root of 7616128 is about 2759.7333204496. The cubic root of 7616128 is about 196.7484915984.

It can be divided in two parts, 7616 and 128, that added together give a square (7744 = 88²).

The spelling of 7616128 in words is "seven million, six hundred sixteen thousand, one hundred twenty-eight".