7628960 has 24 divisors (see below), whose sum is σ = 18023796. Its totient is φ = 3051520.

The previous prime is 7628947. The next prime is 7628963. The reversal of 7628960 is 698267.

It can be written as a sum of positive squares in 2 ways, for example, as 7203856 + 425104 = 2684^2 + 652^2 .

It is not an unprimeable number, because it can be changed into a prime (7628963) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 23681 + ... + 24000.

Almost surely, 2^7628960 is an apocalyptic number.

It is an amenable number.

7628960 is an abundant number, since it is smaller than the sum of its proper divisors (10394836).

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

7628960 is a wasteful number, since it uses less digits than its factorization.

7628960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47696 (or 47688 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 38.

The square root of 7628960 is about 2762.0572043316. The cubic root of 7628960 is about 196.8589265453.

The spelling of 7628960 in words is "seven million, six hundred twenty-eight thousand, nine hundred sixty".