13642000 has 80 divisors (see below), whose sum is σ = 34819200. Its totient is φ = 5155200.

The previous prime is 13641989. The next prime is 13642001. The reversal of 13642000 is 24631.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×13642000² = 372208328000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (13642001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37821 + ... + 38179.

It is an arithmetic number, because the mean of its divisors is an integer number (435240).

Almost surely, 2^13642000 is an apocalyptic number.

13642000 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 13642000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17409600).

13642000 is an abundant number, since it is smaller than the sum of its proper divisors (21177200).

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

13642000 is a wasteful number, since it uses less digits than its factorization.

13642000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 13642000 is about 3693.5078177797. The cubic root of 13642000 is about 238.9421030022.

Adding to 13642000 its reverse (24631), we get a palindrome (13666631).

It can be divided in two parts, 1364 and 2000, that added together give a square (3364 = 58²).

The spelling of 13642000 in words is "thirteen million, six hundred forty-two thousand".