13642128 has 80 divisors (see below), whose sum is σ = 40890240. Its totient is φ = 4346496.

The previous prime is 13642103. The next prime is 13642163. The reversal of 13642128 is 82124631.

13642128 is a `hidden beast` number, since 1 + 3 + 642 + 12 + 8 = 666.

It is a super-2 number, since 2×13642128² = 372215312736768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9250 + ... + 10622.

It is an arithmetic number, because the mean of its divisors is an integer number (511128).

Almost surely, 2^13642128 is an apocalyptic number.

13642128 is a gapful number since it is divisible by the number (18) 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 13642128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20445120).

13642128 is an abundant number, since it is smaller than the sum of its proper divisors (27248112).

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

13642128 is a wasteful number, since it uses less digits than its factorization.

13642128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1413 (or 1401 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 13642128 is about 3693.5251454403. The cubic root of 13642128 is about 238.9428503143.

Adding to 13642128 its reverse (82124631), we get a palindrome (95766759).

The spelling of 13642128 in words is "thirteen million, six hundred forty-two thousand, one hundred twenty-eight".