201385760 has 24 divisors (see below), whose sum is σ = 475774236. Its totient is φ = 80554240.

The previous prime is 201385747. The next prime is 201385763. The reversal of 201385760 is 67583102.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 197009296 + 4376464 = 14036^2 + 2092^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (201385763) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 629171 + ... + 629490.

Almost surely, 2^201385760 is an apocalyptic number.

201385760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201385760 is an abundant number, since it is smaller than the sum of its proper divisors (274388476).

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

201385760 is a wasteful number, since it uses less digits than its factorization.

201385760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1258676 (or 1258668 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 201385760 is about 14191.0450637013. The cubic root of 201385760 is about 586.1511023794.

The spelling of 201385760 in words is "two hundred one million, three hundred eighty-five thousand, seven hundred sixty".