13641400 has 24 divisors (see below), whose sum is σ = 31716720. Its totient is φ = 5456480.

The previous prime is 13641391. The next prime is 13641413. The reversal of 13641400 is 414631.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 33904 + ... + 34303.

It is an arithmetic number, because the mean of its divisors is an integer number (1321530).

Almost surely, 2^13641400 is an apocalyptic number.

13641400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13641400 is an abundant number, since it is smaller than the sum of its proper divisors (18075320).

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

13641400 is a wasteful number, since it uses less digits than its factorization.

13641400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68223 (or 68214 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 13641400 is about 3693.4265932871. The cubic root of 13641400 is about 238.9385999146.

It can be divided in two parts, 13641 and 400, that added together give a palindrome (14041).

The spelling of 13641400 in words is "thirteen million, six hundred forty-one thousand, four hundred".