20261200 has 60 divisors (see below), whose sum is σ = 50029660. Its totient is φ = 7885440.

The previous prime is 20261191. The next prime is 20261231. The reversal of 20261200 is 216202.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

20261200 is nontrivially palindromic in base 9.

It can be written as a sum of positive squares in 6 ways, for example, as 440896 + 19820304 = 664^2 + 4452^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 547582 + ... + 547618.

Almost surely, 2^20261200 is an apocalyptic number.

20261200 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 20261200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25014830).

20261200 is an abundant number, since it is smaller than the sum of its proper divisors (29768460).

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

20261200 is an frugal number, since it uses more digits than its factorization.

20261200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 20261200 is about 4501.2442724207. The cubic root of 20261200 is about 272.6183308994.

Adding to 20261200 its reverse (216202), we get a palindrome (20477402).

The spelling of 20261200 in words is "twenty million, two hundred sixty-one thousand, two hundred".