201000864 has 48 divisors (see below), whose sum is σ = 550573632. Its totient is φ = 64086528.

The previous prime is 201000859. The next prime is 201000881. The reversal of 201000864 is 468000102.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 201000864.

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, 43309 + ... + 47724.

It is an arithmetic number, because the mean of its divisors is an integer number (11470284).

Almost surely, 2^201000864 is an apocalyptic number.

201000864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

201000864 is an abundant number, since it is smaller than the sum of its proper divisors (349572768).

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

201000864 is a wasteful number, since it uses less digits than its factorization.

201000864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91069 (or 91061 counting only the distinct ones).

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

The square root of 201000864 is about 14177.4773496557. The cubic root of 201000864 is about 585.7774395856. Note that the first 3 decimals are identical.

Adding to 201000864 its reverse (468000102), we get a palindrome (669000966).

The spelling of 201000864 in words is "two hundred one million, eight hundred sixty-four", and thus it is an aban number.