14883120 has 120 divisors (see below), whose sum is σ = 57142176. Its totient is φ = 3400704.

The previous prime is 14883107. The next prime is 14883181. The reversal of 14883120 is 2138841.

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

It is a super-4 number, since 4×14883120⁴ (a number of 30 digits) contains 4444 as substring.

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, 3564 + ... + 6516.

Almost surely, 2^14883120 is an apocalyptic number.

14883120 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 14883120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28571088).

14883120 is an abundant number, since it is smaller than the sum of its proper divisors (42259056).

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

14883120 is a wasteful number, since it uses less digits than its factorization.

14883120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2979 (or 2970 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 14883120 is about 3857.8646943614. The cubic root of 14883120 is about 245.9789789692.

The spelling of 14883120 in words is "fourteen million, eight hundred eighty-three thousand, one hundred twenty".