13626240 has 128 divisors (see below), whose sum is σ = 44651520. Its totient is φ = 3532800.

The previous prime is 13626229. The next prime is 13626251. The reversal of 13626240 is 4262631.

It is an interprime number because it is at equal distance from previous prime (13626229) and next prime (13626251).

It is a tau number, because it is divible by the number of its divisors (128).

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 13626240.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90165 + ... + 90315.

It is an arithmetic number, because the mean of its divisors is an integer number (348840).

Almost surely, 2^13626240 is an apocalyptic number.

13626240 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 13626240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22325760).

13626240 is an abundant number, since it is smaller than the sum of its proper divisors (31025280).

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

13626240 is a wasteful number, since it uses less digits than its factorization.

13626240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 13626240 is about 3691.3737280313. The cubic root of 13626240 is about 238.8500544609.

Adding to 13626240 its reverse (4262631), we get a palindrome (17888871).

The spelling of 13626240 in words is "thirteen million, six hundred twenty-six thousand, two hundred forty".