201082320 has 120 divisors (see below), whose sum is σ = 710892000. Its totient is φ = 50796288.

The previous prime is 201082313. The next prime is 201082361. The reversal of 201082320 is 23280102.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 201082293 and 201082302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6331 + ... + 21029.

It is an arithmetic number, because the mean of its divisors is an integer number (5924100).

Almost surely, 2^201082320 is an apocalyptic number.

201082320 is a gapful number since it is divisible by the number (20) 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 201082320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355446000).

201082320 is an abundant number, since it is smaller than the sum of its proper divisors (509809680).

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

201082320 is a wasteful number, since it uses less digits than its factorization.

201082320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14737 (or 14728 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 201082320 is about 14180.3497841203. The cubic root of 201082320 is about 585.8565580565.

The spelling of 201082320 in words is "two hundred one million, eighty-two thousand, three hundred twenty".