201264 has 40 divisors (see below), whose sum is σ = 595200. Its totient is φ = 57408.

The previous prime is 201251. The next prime is 201281. The reversal of 201264 is 462102.

It is an unprimeable number.

201264 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37 + ... + 635.

It is an arithmetic number, because the mean of its divisors is an integer number (14880).

2²⁰¹²⁶⁴ is an apocalyptic number.

201264 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 201264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297600).

201264 is an abundant number, since it is smaller than the sum of its proper divisors (393936).

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

201264 is a wasteful number, since it uses less digits than its factorization.

201264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 617 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 201264 is about 448.6245646418. The cubic root of 201264 is about 58.6032947473.

Adding to 201264 its reverse (462102), we get a palindrome (663366).

It can be divided in two parts, 201 and 264, that added together give a triangular number (465 = T₃₀).

The spelling of 201264 in words is "two hundred one thousand, two hundred sixty-four".