14361120 has 72 divisors (see below), whose sum is σ = 49012236. Its totient is φ = 3829248.

The previous prime is 14361101. The next prime is 14361161. The reversal of 14361120 is 2116341.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 13220496 + 1140624 = 3636^2 + 1068^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 14361093 and 14361102.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3547 + ... + 6426.

Almost surely, 2^14361120 is an apocalyptic number.

14361120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14361120 is an abundant number, since it is smaller than the sum of its proper divisors (34651116).

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

14361120 is a wasteful number, since it uses less digits than its factorization.

14361120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9994 (or 9983 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 14361120 is about 3789.6068397658. The cubic root of 14361120 is about 243.0689231916.

Adding to 14361120 its reverse (2116341), we get a palindrome (16477461).

It can be divided in two parts, 1436 and 1120, that added together give a triangular number (2556 = T₇₁).

The spelling of 14361120 in words is "fourteen million, three hundred sixty-one thousand, one hundred twenty".