13641600 has 288 divisors, whose sum is σ = 54070200. Its totient is φ = 3010560.

The previous prime is 13641557. The next prime is 13641623. The reversal of 13641600 is 614631.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 470386 + ... + 470414.

Almost surely, 2^13641600 is an apocalyptic number.

13641600 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 13641600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27035100).

13641600 is an abundant number, since it is smaller than the sum of its proper divisors (40428600).

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

13641600 is a wasteful number, since it uses less digits than its factorization.

13641600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 13641600 is about 3693.4536683164. The cubic root of 13641600 is about 238.9397676219.

It can be divided in two parts, 13641 and 600, that added together give a palindrome (14241).

The spelling of 13641600 in words is "thirteen million, six hundred forty-one thousand, six hundred".