21632010 has 64 divisors (see below), whose sum is σ = 54552960. Its totient is φ = 5483520.

The previous prime is 21631997. The next prime is 21632059. The reversal of 21632010 is 1023612.

21632010 = 2078² + 2079² + ... + 2082².

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52686 + ... + 53094.

It is an arithmetic number, because the mean of its divisors is an integer number (852390).

Almost surely, 2^21632010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21632010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27276480).

21632010 is an abundant number, since it is smaller than the sum of its proper divisors (32920950).

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

21632010 is a wasteful number, since it uses less digits than its factorization.

21632010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503.

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

The square root of 21632010 is about 4651.0224682321. The cubic root of 21632010 is about 278.6328336506.

Adding to 21632010 its reverse (1023612), we get a palindrome (22655622).

The spelling of 21632010 in words is "twenty-one million, six hundred thirty-two thousand, ten".