201612800 has 120 divisors (see below), whose sum is σ = 526435800. Its totient is φ = 76308480.

The previous prime is 201612793. The next prime is 201612811. The reversal of 201612800 is 8216102.

It is a super-2 number, since 2×201612800² = 81295442247680000, which contains 22 as substring.

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 polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 242786 + ... + 243614.

It is an arithmetic number, because the mean of its divisors is an integer number (4386965).

Almost surely, 2^201612800 is an apocalyptic number.

201612800 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 201612800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263217900).

201612800 is an abundant number, since it is smaller than the sum of its proper divisors (324823000).

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

201612800 is an equidigital number, since it uses as much as digits as its factorization.

201612800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 876 (or 855 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 201612800 is about 14199.0422212204. The cubic root of 201612800 is about 586.3712930005.

Adding to 201612800 its reverse (8216102), we get a palindrome (209828902).

The spelling of 201612800 in words is "two hundred one million, six hundred twelve thousand, eight hundred".