14120288 has 72 divisors (see below), whose sum is σ = 34494768. Its totient is φ = 5571072.

The previous prime is 14120279. The next prime is 14120291. The reversal of 14120288 is 88202141.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37670 + ... + 38042.

It is an arithmetic number, because the mean of its divisors is an integer number (479094).

Almost surely, 2^14120288 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 14120288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17247384).

14120288 is an abundant number, since it is smaller than the sum of its proper divisors (20374480).

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

14120288 is a wasteful number, since it uses less digits than its factorization.

14120288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 26.

The square root of 14120288 is about 3757.6971671491. The cubic root of 14120288 is about 241.7025236265.

The spelling of 14120288 in words is "fourteen million, one hundred twenty thousand, two hundred eighty-eight".