201342564 has 48 divisors (see below), whose sum is σ = 527889600. Its totient is φ = 66356928.

The previous prime is 201342553. The next prime is 201342607. The reversal of 201342564 is 465243102.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 862 + ... + 20085.

It is an arithmetic number, because the mean of its divisors is an integer number (10997700).

Almost surely, 2^201342564 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201342564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263944800).

201342564 is an abundant number, since it is smaller than the sum of its proper divisors (326547036).

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

201342564 is a wasteful number, since it uses less digits than its factorization.

201342564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21049 (or 21041 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 201342564 is about 14189.5230363815. The cubic root of 201342564 is about 586.1091907872.

Adding to 201342564 its reverse (465243102), we get a palindrome (666585666).

The spelling of 201342564 in words is "two hundred one million, three hundred forty-two thousand, five hundred sixty-four".