14991120 has 120 divisors (see below), whose sum is σ = 51532416. Its totient is φ = 3903744.

The previous prime is 14991107. The next prime is 14991121. The reversal of 14991120 is 2119941.

14991120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (14991121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33619 + ... + 34061.

Almost surely, 2^14991120 is an apocalyptic number.

14991120 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 14991120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25766208).

14991120 is an abundant number, since it is smaller than the sum of its proper divisors (36541296).

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

14991120 is a wasteful number, since it uses less digits than its factorization.

14991120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The square root of 14991120 is about 3871.8367734190. The cubic root of 14991120 is about 246.5725312414.

The spelling of 14991120 in words is "fourteen million, nine hundred ninety-one thousand, one hundred twenty".