7528960 has 80 divisors (see below), whose sum is σ = 19224216. Its totient is φ = 2818048.

The previous prime is 7528949. The next prime is 7528973. The reversal of 7528960 is 698257.

It can be written as a sum of positive squares in 4 ways, for example, as 7485696 + 43264 = 2736^2 + 208^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43434 + ... + 43606.

Almost surely, 2^7528960 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 7528960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9612108).

7528960 is an abundant number, since it is smaller than the sum of its proper divisors (11695256).

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

7528960 is a wasteful number, since it uses less digits than its factorization.

7528960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 37.

The square root of 7528960 is about 2743.8950417244. The cubic root of 7528960 is about 195.9950019550.

The spelling of 7528960 in words is "seven million, five hundred twenty-eight thousand, nine hundred sixty".