14661240 has 128 divisors (see below), whose sum is σ = 49766400. Its totient is φ = 3422720.

The previous prime is 14661221. The next prime is 14661253. The reversal of 14661240 is 4216641.

It is a Cunningham number, because it is equal to 3829²-1.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 14661240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38089 + ... + 38471.

It is an arithmetic number, because the mean of its divisors is an integer number (388800).

Almost surely, 2^14661240 is an apocalyptic number.

14661240 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 14661240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24883200).

14661240 is an abundant number, since it is smaller than the sum of its proper divisors (35105160).

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

14661240 is a wasteful number, since it uses less digits than its factorization.

14661240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 14661240 is about 3828.9998694176. Note that the first 3 decimals coincide. The cubic root of 14661240 is about 244.7504887267.

Adding to 14661240 its reverse (4216641), we get a palindrome (18877881).

The spelling of 14661240 in words is "fourteen million, six hundred sixty-one thousand, two hundred forty".