14953120 has 144 divisors (see below), whose sum is σ = 44271360. Its totient is φ = 4672512.

The previous prime is 14953117. The next prime is 14953153. The reversal of 14953120 is 2135941.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 189241 + ... + 189319.

It is an arithmetic number, because the mean of its divisors is an integer number (307440).

Almost surely, 2^14953120 is an apocalyptic number.

14953120 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 14953120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22135680).

14953120 is an abundant number, since it is smaller than the sum of its proper divisors (29318240).

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

14953120 is a wasteful number, since it uses less digits than its factorization.

14953120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 14953120 is about 3866.9264280563. The cubic root of 14953120 is about 246.3640148157.

The spelling of 14953120 in words is "fourteen million, nine hundred fifty-three thousand, one hundred twenty".