7144896 has 112 divisors (see below), whose sum is σ = 21945600. Its totient is φ = 2027520.

The previous prime is 7144873. The next prime is 7144903. The reversal of 7144896 is 6984417.

It is a happy number.

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, 35805 + ... + 36003.

Almost surely, 2^7144896 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 7144896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10972800).

7144896 is an abundant number, since it is smaller than the sum of its proper divisors (14800704).

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

7144896 is a wasteful number, since it uses less digits than its factorization.

7144896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 232 counting only the distinct ones).

The product of its digits is 48384, while the sum is 39.

The square root of 7144896 is about 2672.9938271534. The cubic root of 7144896 is about 192.6040006976.

The spelling of 7144896 in words is "seven million, one hundred forty-four thousand, eight hundred ninety-six".