7128960 has 128 divisors (see below), whose sum is σ = 23500800. Its totient is φ = 1837056.

The previous prime is 7128949. The next prime is 7128973. The reversal of 7128960 is 698217.

7128960 = 886² + 887² + ... + 894².

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90201 + ... + 90279.

It is an arithmetic number, because the mean of its divisors is an integer number (183600).

Almost surely, 2^7128960 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 7128960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11750400).

7128960 is an abundant number, since it is smaller than the sum of its proper divisors (16371840).

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

7128960 is a wasteful number, since it uses less digits than its factorization.

7128960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 136 counting only the distinct ones).

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

The square root of 7128960 is about 2670.0112359314. The cubic root of 7128960 is about 192.4606992350.

The spelling of 7128960 in words is "seven million, one hundred twenty-eight thousand, nine hundred sixty".