201864 has 32 divisors (see below), whose sum is σ = 544320. Its totient is φ = 62016.

The previous prime is 201847. The next prime is 201881. The reversal of 201864 is 468102.

It is an interprime number because it is at equal distance from previous prime (201847) and next prime (201881).

It is a self number, because there is not a number n which added to its sum of digits gives 201864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12 + ... + 635.

It is an arithmetic number, because the mean of its divisors is an integer number (17010).

2²⁰¹⁸⁶⁴ is an apocalyptic number.

201864 is a gapful number since it is divisible by the number (24) 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 201864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272160).

201864 is an abundant number, since it is smaller than the sum of its proper divisors (342456).

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

201864 is a wasteful number, since it uses less digits than its factorization.

201864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 669 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 201864 is about 449.2927775961. The cubic root of 201864 is about 58.6614722214.

Adding to 201864 its reverse (468102), we get a palindrome (669966).

The spelling of 201864 in words is "two hundred one thousand, eight hundred sixty-four".