20536400 has 30 divisors (see below), whose sum is σ = 49339662. Its totient is φ = 8214400.

The previous prime is 20536393. The next prime is 20536421. The reversal of 20536400 is 463502.

It can be written as a sum of positive squares in 3 ways, for example, as 3429904 + 17106496 = 1852^2 + 4136^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 25271 + ... + 26070.

Almost surely, 2^20536400 is an apocalyptic number.

20536400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20536400 is an abundant number, since it is smaller than the sum of its proper divisors (28803262).

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

20536400 is a wasteful number, since it uses less digits than its factorization.

20536400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51359 (or 51348 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 20536400 is about 4531.7104938423. The cubic root of 20536400 is about 273.8470739872.

Adding to 20536400 its reverse (463502), we get a palindrome (20999902).

The spelling of 20536400 in words is "twenty million, five hundred thirty-six thousand, four hundred".