201639900 has 432 divisors, whose sum is σ = 783699840. Its totient is φ = 39513600.

The previous prime is 201639881. The next prime is 201639901. The reversal of 201639900 is 9936102.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201639901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4689279 + ... + 4689321.

It is an arithmetic number, because the mean of its divisors is an integer number (1814120).

Almost surely, 2^201639900 is an apocalyptic number.

201639900 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 201639900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391849920).

201639900 is an abundant number, since it is smaller than the sum of its proper divisors (582059940).

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

201639900 is a wasteful number, since it uses less digits than its factorization.

201639900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 30.

The square root of 201639900 is about 14199.9964788728. The cubic root of 201639900 is about 586.3975643981.

The spelling of 201639900 in words is "two hundred one million, six hundred thirty-nine thousand, nine hundred".