201005664 has 36 divisors (see below), whose sum is σ = 528004764. Its totient is φ = 66955584.

The previous prime is 201005659. The next prime is 201005689. The reversal of 201005664 is 466500102.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 138189 + ... + 139635.

It is an arithmetic number, because the mean of its divisors is an integer number (14666799).

Almost surely, 2^201005664 is an apocalyptic number.

201005664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

201005664 is an abundant number, since it is smaller than the sum of its proper divisors (326999100).

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

201005664 is an frugal number, since it uses more digits than its factorization.

201005664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2907 (or 1452 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 201005664 is about 14177.6466312290. The cubic root of 201005664 is about 585.7821024334.

Multiplying 201005664 by its sum of digits (24), we get a square (4824135936 = 69456²).

201005664 divided by its sum of digits (24) gives a square (8375236 = 2894²).

Adding to 201005664 its reverse (466500102), we get a palindrome (667505766).

The spelling of 201005664 in words is "two hundred one million, five thousand, six hundred sixty-four".