7960128 has 56 divisors (see below), whose sum is σ = 22981920. Its totient is φ = 2411520.

The previous prime is 7960081. The next prime is 7960129. The reversal of 7960128 is 8210697.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (7960129) 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 7 ways as a sum of consecutive naturals, for example, 228 + ... + 3996.

Almost surely, 2^7960128 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 7960128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11490960).

7960128 is an abundant number, since it is smaller than the sum of its proper divisors (15021792).

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

7960128 is a wasteful number, since it uses less digits than its factorization.

7960128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3795 (or 3785 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 7960128 is about 2821.3698800405. The cubic root of 7960128 is about 199.6671797941.

The spelling of 7960128 in words is "seven million, nine hundred sixty thousand, one hundred twenty-eight".