201960288 has 72 divisors (see below), whose sum is σ = 592877376. Its totient is φ = 65145600.

The previous prime is 201960277. The next prime is 201960347. The reversal of 201960288 is 882069102.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2383 + ... + 20238.

It is an arithmetic number, because the mean of its divisors is an integer number (8234408).

Almost surely, 2^201960288 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 201960288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296438688).

201960288 is an abundant number, since it is smaller than the sum of its proper divisors (390917088).

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

201960288 is a wasteful number, since it uses less digits than its factorization.

201960288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22668 (or 22657 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 201960288 is about 14211.2732715967. The cubic root of 201960288 is about 586.7079780367.

It can be divided in two parts, 20196028 and 8, that added together give a square (20196036 = 4494²).

The spelling of 201960288 in words is "two hundred one million, nine hundred sixty thousand, two hundred eighty-eight".