14927120 has 80 divisors (see below), whose sum is σ = 38664192. Its totient is φ = 5322240.

The previous prime is 14927119. The next prime is 14927137. The reversal of 14927120 is 2172941.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×14927120² = 445637822988800, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 14927120.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32009 + ... + 32471.

Almost surely, 2^14927120 is an apocalyptic number.

14927120 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 14927120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19332096).

14927120 is an abundant number, since it is smaller than the sum of its proper divisors (23737072).

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

14927120 is a wasteful number, since it uses less digits than its factorization.

14927120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 26.

The square root of 14927120 is about 3863.5631223004. The cubic root of 14927120 is about 246.2211420571.

The spelling of 14927120 in words is "fourteen million, nine hundred twenty-seven thousand, one hundred twenty".