201520800 has 216 divisors, whose sum is σ = 765630684. Its totient is φ = 49582080.

The previous prime is 201520799. The next prime is 201520811. The reversal of 201520800 is 8025102.

It can be written as a sum of positive squares in 6 ways, for example, as 7420176 + 194100624 = 2724^2 + 13932^2 .

It is a super-2 number, since 2×201520800² = 81221265665280000, which contains 22 as substring.

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

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 35 ways as a sum of consecutive naturals, for example, 92524 + ... + 94676.

Almost surely, 2^201520800 is an apocalyptic number.

201520800 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 201520800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382815342).

201520800 is an abundant number, since it is smaller than the sum of its proper divisors (564109884).

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

201520800 is a wasteful number, since it uses less digits than its factorization.

201520800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2192 (or 2176 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 201520800 is about 14195.8021964241. The cubic root of 201520800 is about 586.2820884020.

Adding to 201520800 its reverse (8025102), we get a palindrome (209545902).

The spelling of 201520800 in words is "two hundred one million, five hundred twenty thousand, eight hundred".