13642644 has 48 divisors (see below), whose sum is σ = 33264000. Its totient is φ = 4346496.

The previous prime is 13642639. The next prime is 13642649. The reversal of 13642644 is 44624631.

It is an interprime number because it is at equal distance from previous prime (13642639) and next prime (13642649).

It is a super-2 number, since 2×13642644² = 372243470621472, which contains 22 as substring.

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

Its product of digits (13824) is a multiple of the sum of its prime factors (432).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13642649) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68457 + ... + 68655.

It is an arithmetic number, because the mean of its divisors is an integer number (693000).

Almost surely, 2^13642644 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13642644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16632000).

13642644 is an abundant number, since it is smaller than the sum of its proper divisors (19621356).

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

13642644 is a wasteful number, since it uses less digits than its factorization.

13642644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 430 counting only the distinct ones).

The product of its digits is 13824, while the sum is 30.

The square root of 13642644 is about 3693.5949967477. The cubic root of 13642644 is about 238.9458628686.

The spelling of 13642644 in words is "thirteen million, six hundred forty-two thousand, six hundred forty-four".