20632900 has 72 divisors (see below), whose sum is σ = 48512520. Its totient is φ = 7587840.

The previous prime is 20632889. The next prime is 20632919. The reversal of 20632900 is 923602.

It can be written as a sum of positive squares in 12 ways, for example, as 3136 + 20629764 = 56^2 + 4542^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89986 + ... + 90214.

It is an arithmetic number, because the mean of its divisors is an integer number (673785).

Almost surely, 2^20632900 is an apocalyptic number.

20632900 is a gapful number since it is divisible by the number (20) 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 20632900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24256260).

20632900 is an abundant number, since it is smaller than the sum of its proper divisors (27879620).

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

20632900 is a wasteful number, since it uses less digits than its factorization.

20632900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

The square root of 20632900 is about 4542.3452092504. The cubic root of 20632900 is about 274.2753372707.

The spelling of 20632900 in words is "twenty million, six hundred thirty-two thousand, nine hundred".