201531360 has 96 divisors (see below), whose sum is σ = 641263392. Its totient is φ = 53196800.

The previous prime is 201531349. The next prime is 201531361. The reversal of 201531360 is 63135102.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×201531360² = 81229778126899200, which contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201531361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46402 + ... + 50558.

It is an arithmetic number, because the mean of its divisors is an integer number (6679827).

Almost surely, 2^201531360 is an apocalyptic number.

201531360 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 201531360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320631696).

201531360 is an abundant number, since it is smaller than the sum of its proper divisors (439732032).

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

201531360 is a wasteful number, since it uses less digits than its factorization.

201531360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4276 (or 4268 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 201531360 is about 14196.1741324908. The cubic root of 201531360 is about 586.2923289177.

Adding to 201531360 its reverse (63135102), we get a palindrome (264666462).

The spelling of 201531360 in words is "two hundred one million, five hundred thirty-one thousand, three hundred sixty".