20536800 has 144 divisors (see below), whose sum is σ = 68745600. Its totient is φ = 5322240.

The previous prime is 20536783. The next prime is 20536823. The reversal of 20536800 is 863502.

20536800 = T₁₀₁ + T₁₀₂ + ... + T₄₉₈.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 103101 + ... + 103299.

It is an arithmetic number, because the mean of its divisors is an integer number (477400).

Almost surely, 2^20536800 is an apocalyptic number.

20536800 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 20536800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34372800).

20536800 is an abundant number, since it is smaller than the sum of its proper divisors (48208800).

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

20536800 is a wasteful number, since it uses less digits than its factorization.

20536800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 20536800 is about 4531.7546270733. The cubic root of 20536800 is about 273.8488519378.

The spelling of 20536800 in words is "twenty million, five hundred thirty-six thousand, eight hundred".