20923200 has 126 divisors (see below), whose sum is σ = 74417174. Its totient is φ = 5575680.

The previous prime is 20923163. The next prime is 20923207. The reversal of 20923200 is 232902.

It can be written as a sum of positive squares in 3 ways, for example, as 5992704 + 14930496 = 2448^2 + 3864^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20923207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 13674 + ... + 15126.

Almost surely, 2^20923200 is an apocalyptic number.

20923200 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 20923200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37208587).

20923200 is an abundant number, since it is smaller than the sum of its proper divisors (53493974).

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

20923200 is a wasteful number, since it uses less digits than its factorization.

20923200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1481 (or 1463 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 20923200 is about 4574.1884526110. The cubic root of 20923200 is about 275.5556808108. Note that the first 3 decimals are identical.

It can be divided in two parts, 209 and 23200, that added together give a square (23409 = 153²).

The spelling of 20923200 in words is "twenty million, nine hundred twenty-three thousand, two hundred".