14240880 has 160 divisors (see below), whose sum is σ = 51782400. Its totient is φ = 3587328.

The previous prime is 14240857. The next prime is 14240903. The reversal of 14240880 is 8804241.

It is an interprime number because it is at equal distance from previous prime (14240857) and next prime (14240903).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40867 + ... + 41213.

It is an arithmetic number, because the mean of its divisors is an integer number (323640).

Almost surely, 2^14240880 is an apocalyptic number.

14240880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14240880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25891200).

14240880 is an abundant number, since it is smaller than the sum of its proper divisors (37541520).

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

14240880 is a wasteful number, since it uses less digits than its factorization.

14240880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 14240880 is about 3773.7090507881. The cubic root of 14240880 is about 242.3886476401.

The spelling of 14240880 in words is "fourteen million, two hundred forty thousand, eight hundred eighty".