201384320 has 64 divisors (see below), whose sum is σ = 502403040. Its totient is φ = 77045760.

The previous prime is 201384317. The next prime is 201384341. The reversal of 201384320 is 23483102.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7880 + ... + 21560.

Almost surely, 2^201384320 is an apocalyptic number.

201384320 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 201384320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251201520).

201384320 is an abundant number, since it is smaller than the sum of its proper divisors (301018720).

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

201384320 is a wasteful number, since it uses less digits than its factorization.

201384320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13723 (or 13711 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 201384320 is about 14190.9943273895. The cubic root of 201384320 is about 586.1497052935.

The spelling of 201384320 in words is "two hundred one million, three hundred eighty-four thousand, three hundred twenty".