20813200 has 60 divisors (see below), whose sum is σ = 50883028. Its totient is φ = 8179200.

The previous prime is 20813159. The next prime is 20813201. The reversal of 20813200 is 231802.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 8952064 + 11861136 = 2992^2 + 3444^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (20813201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23974 + ... + 24826.

Almost surely, 2^20813200 is an apocalyptic number.

20813200 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 20813200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25441514).

20813200 is an abundant number, since it is smaller than the sum of its proper divisors (30069828).

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

20813200 is a wasteful number, since it uses less digits than its factorization.

20813200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 932 (or 921 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 20813200 is about 4562.1486166060. The cubic root of 20813200 is about 275.0719371032.

The spelling of 20813200 in words is "twenty million, eight hundred thirteen thousand, two hundred".