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20995200 = 273852

20995200 has 216 divisors, whose sum is σ = 77793105. Its totient is φ = 5598720.

The previous prime is 20995199. The next prime is 20995201. The reversal of 20995200 is 259902.

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.

It is an interprime number because it is at equal distance from previous prime (20995199) and next prime (20995201).

It can be written as a sum of positive squares in 2 ways, for example, as 20575296 + 419904 = 4536^2 + 648^2 .

It is a tau number, because it is divible by the number of its divisors (216).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=3240.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (20995201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4199038 + ... + 4199042.

Almost surely, 220995200 is an apocalyptic number.

20995200 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 20995200

20995200 is an abundant number, since it is smaller than the sum of its proper divisors (56797905).

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

20995200 is an frugal number, since it uses more digits than its factorization.

20995200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 20995200 is about 4582.0519420888. The cubic root of 20995200 is about 275.8713956617.

Multiplying 20995200 by its product of nonzero digits (1620), we get a cube (34012224000 = 32403).

The spelling of 20995200 in words is "twenty million, nine hundred ninety-five thousand, two hundred".