201431760 has 80 divisors (see below), whose sum is σ = 634721280. Its totient is φ = 52830720.

The previous prime is 201431753. The next prime is 201431777. The reversal of 201431760 is 67134102.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 201431760.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7761 + ... + 21519.

It is an arithmetic number, because the mean of its divisors is an integer number (7934016).

Almost surely, 2^201431760 is an apocalyptic number.

201431760 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 201431760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317360640).

201431760 is an abundant number, since it is smaller than the sum of its proper divisors (433289520).

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

201431760 is a wasteful number, since it uses less digits than its factorization.

201431760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13836 (or 13830 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 201431760 is about 14192.6657115568. The cubic root of 201431760 is about 586.1957280074.

Adding to 201431760 its reverse (67134102), we get a palindrome (268565862).

The spelling of 201431760 in words is "two hundred one million, four hundred thirty-one thousand, seven hundred sixty".