20101632 has 80 divisors (see below), whose sum is σ = 55978560. Its totient is φ = 6397952.

The previous prime is 20101621. The next prime is 20101637. The reversal of 20101632 is 23610102.

It is not an unprimeable number, because it can be changed into a prime (20101637) 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, 35044 + ... + 35612.

It is an arithmetic number, because the mean of its divisors is an integer number (699732).

Almost surely, 2^20101632 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 20101632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27989280).

20101632 is an abundant number, since it is smaller than the sum of its proper divisors (35876928).

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

20101632 is an equidigital number, since it uses as much as digits as its factorization.

20101632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 613 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 20101632 is about 4483.4843592902. The cubic root of 20101632 is about 271.9007711863.

Adding to 20101632 its reverse (23610102), we get a palindrome (43711734).

The spelling of 20101632 in words is "twenty million, one hundred one thousand, six hundred thirty-two".