14880240 has 120 divisors (see below), whose sum is σ = 51879120. Its totient is φ = 3920256.

The previous prime is 14880233. The next prime is 14880269. The reversal of 14880240 is 4208841.

14880240 = T₃₂ + T₃₃ + ... + T₄₄₆.

14880240 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 a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 179239 + ... + 179321.

It is an arithmetic number, because the mean of its divisors is an integer number (432326).

Almost surely, 2^14880240 is an apocalyptic number.

14880240 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 14880240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25939560).

14880240 is an abundant number, since it is smaller than the sum of its proper divisors (36998880).

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

14880240 is an equidigital number, since it uses as much as digits as its factorization.

14880240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 14880240 is about 3857.4914128226. The cubic root of 14880240 is about 245.9631116609.

The spelling of 14880240 in words is "fourteen million, eight hundred eighty thousand, two hundred forty".