201661360 has 40 divisors (see below), whose sum is σ = 485035920. Its totient is φ = 77882112.

The previous prime is 201661337. The next prime is 201661367. The reversal of 201661360 is 63166102.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×201661360³ (a number of 26 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (201661367) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 41142 + ... + 45781.

It is an arithmetic number, because the mean of its divisors is an integer number (12125898).

Almost surely, 2^201661360 is an apocalyptic number.

201661360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201661360 is an abundant number, since it is smaller than the sum of its proper divisors (283374560).

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

201661360 is a wasteful number, since it uses less digits than its factorization.

201661360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86965 (or 86959 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 201661360 is about 14200.7520927590. The cubic root of 201661360 is about 586.4183665729.

The spelling of 201661360 in words is "two hundred one million, six hundred sixty-one thousand, three hundred sixty".