7641128 has 32 divisors (see below), whose sum is σ = 16139520. Its totient is φ = 3360000.

The previous prime is 7641121. The next prime is 7641131. The reversal of 7641128 is 8211467.

It is a super-2 number, since 2×7641128² = 116773674224768, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 7641128.

It is not an unprimeable number, because it can be changed into a prime (7641121) 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, 1328 + ... + 4128.

It is an arithmetic number, because the mean of its divisors is an integer number (504360).

Almost surely, 2^7641128 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 7641128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8069760).

7641128 is an abundant number, since it is smaller than the sum of its proper divisors (8498392).

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

7641128 is a wasteful number, since it uses less digits than its factorization.

7641128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2849 (or 2845 counting only the distinct ones).

The product of its digits is 2688, while the sum is 29.

The square root of 7641128 is about 2764.2590327247. The cubic root of 7641128 is about 196.9635326350.

The spelling of 7641128 in words is "seven million, six hundred forty-one thousand, one hundred twenty-eight".