13621632 has 64 divisors (see below), whose sum is σ = 38107200. Its totient is φ = 4299264.

The previous prime is 13621631. The next prime is 13621637. The reversal of 13621632 is 23612631.

It is a happy number.

13621632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13621631) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6363 + ... + 8229.

It is an arithmetic number, because the mean of its divisors is an integer number (595425).

Almost surely, 2^13621632 is an apocalyptic number.

13621632 is a gapful number since it is divisible by the number (12) 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 13621632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19053600).

13621632 is an abundant number, since it is smaller than the sum of its proper divisors (24485568).

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

13621632 is a wasteful number, since it uses less digits than its factorization.

13621632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1903 (or 1891 counting only the distinct ones).

The product of its digits is 1296, while the sum is 24.

The square root of 13621632 is about 3690.7495173745. The cubic root of 13621632 is about 238.8231273668.

Subtracting 13621632 from its reverse (23612631), we obtain a palindrome (9990999).

The spelling of 13621632 in words is "thirteen million, six hundred twenty-one thousand, six hundred thirty-two".