201636400 has 240 divisors, whose sum is σ = 602247168. Its totient is φ = 63360000.

The previous prime is 201636397. The next prime is 201636403. The reversal of 201636400 is 4636102.

It is an interprime number because it is at equal distance from previous prime (201636397) and next prime (201636403).

It is not an unprimeable number, because it can be changed into a prime (201636403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1996350 + ... + 1996450.

Almost surely, 2^201636400 is an apocalyptic number.

201636400 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 201636400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301123584).

201636400 is an abundant number, since it is smaller than the sum of its proper divisors (400610768).

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

201636400 is a wasteful number, since it uses less digits than its factorization.

201636400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 201636400 is about 14199.8732388708. The cubic root of 201636400 is about 586.3941715456.

It can be divided in two parts, 2016 and 36400, that added together give a 4-th power (38416 = 14⁴).

The spelling of 201636400 in words is "two hundred one million, six hundred thirty-six thousand, four hundred".