7448960 has 64 divisors (see below), whose sum is σ = 18139680. Its totient is φ = 2924544.

The previous prime is 7448953. The next prime is 7448971. The reversal of 7448960 is 698447.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

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, 65864 + ... + 65976.

Almost surely, 2^7448960 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 7448960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9069840).

7448960 is an abundant number, since it is smaller than the sum of its proper divisors (10690720).

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

7448960 is a wasteful number, since it uses less digits than its factorization.

7448960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 38.

The square root of 7448960 is about 2729.2782928826. The cubic root of 7448960 is about 195.2983379811.

The spelling of 7448960 in words is "seven million, four hundred forty-eight thousand, nine hundred sixty".