20872600 has 96 divisors (see below), whose sum is σ = 58790880. Its totient is φ = 6727680.

The previous prime is 20872589. The next prime is 20872601. The reversal of 20872600 is 627802.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20872601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23362 + ... + 24238.

It is an arithmetic number, because the mean of its divisors is an integer number (612405).

Almost surely, 2^20872600 is an apocalyptic number.

20872600 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 20872600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29395440).

20872600 is an abundant number, since it is smaller than the sum of its proper divisors (37918280).

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

20872600 is a wasteful number, since it uses less digits than its factorization.

20872600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 917 (or 908 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 20872600 is about 4568.6540687603. The cubic root of 20872600 is about 275.3333698125. Note that the first 4 decimals are identical.

The spelling of 20872600 in words is "twenty million, eight hundred seventy-two thousand, six hundred".