201606400 has 162 divisors, whose sum is σ = 534950570. Its totient is φ = 75202560.

The previous prime is 201606367. The next prime is 201606401. The reversal of 201606400 is 4606102.

It can be written as a sum of positive squares in 9 ways, for example, as 3810304 + 197796096 = 1952^2 + 14064^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201606401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1849546 + ... + 1849654.

Almost surely, 2^201606400 is an apocalyptic number.

201606400 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 201606400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267475285).

201606400 is an abundant number, since it is smaller than the sum of its proper divisors (333344170).

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

201606400 is a wasteful number, since it uses less digits than its factorization.

201606400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 201606400 is about 14198.8168521183. The cubic root of 201606400 is about 586.3650883415.

The spelling of 201606400 in words is "two hundred one million, six hundred six thousand, four hundred".