14449680 has 240 divisors, whose sum is σ = 57567744. Its totient is φ = 3179520.

The previous prime is 14449663. The next prime is 14449691. The reversal of 14449680 is 8694441.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 236850 + ... + 236910.

Almost surely, 2^14449680 is an apocalyptic number.

14449680 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 14449680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28783872).

14449680 is an abundant number, since it is smaller than the sum of its proper divisors (43118064).

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

14449680 is a wasteful number, since it uses less digits than its factorization.

14449680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 14449680 is about 3801.2734708253. The cubic root of 14449680 is about 243.5675399815.

It can be divided in two parts, 14449 and 680, that added together give a square (15129 = 123²).

The spelling of 14449680 in words is "fourteen million, four hundred forty-nine thousand, six hundred eighty".