20533200 has 120 divisors (see below), whose sum is σ = 66977856. Its totient is φ = 5376000.

The previous prime is 20533159. The next prime is 20533213. The reversal of 20533200 is 233502.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×20533200² = 843224604480000, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 20533200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85080 + ... + 85320.

Almost surely, 2^20533200 is an apocalyptic number.

20533200 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 20533200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33488928).

20533200 is an abundant number, since it is smaller than the sum of its proper divisors (46444656).

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

20533200 is a wasteful number, since it uses less digits than its factorization.

20533200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 15.

The square root of 20533200 is about 4531.3574125200. The cubic root of 20533200 is about 273.8328495506.

Adding to 20533200 its reverse (233502), we get a palindrome (20766702).

It can be divided in two parts, 2053 and 3200, that added together give a triangular number (5253 = T₁₀₂).

The spelling of 20533200 in words is "twenty million, five hundred thirty-three thousand, two hundred".