201127680 has 432 divisors, whose sum is σ = 803537280. Its totient is φ = 46006272.

The previous prime is 201127669. The next prime is 201127691. The reversal of 201127680 is 86721102.

It is an interprime number because it is at equal distance from previous prime (201127669) and next prime (201127691).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2545881 + ... + 2545959.

It is an arithmetic number, because the mean of its divisors is an integer number (1860040).

Almost surely, 2^201127680 is an apocalyptic number.

201127680 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 201127680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401768640).

201127680 is an abundant number, since it is smaller than the sum of its proper divisors (602409600).

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

201127680 is a wasteful number, since it uses less digits than its factorization.

201127680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 201127680 is about 14181.9490903049. The cubic root of 201127680 is about 585.9006071065.

Adding to 201127680 its reverse (86721102), we get a palindrome (287848782).

The spelling of 201127680 in words is "two hundred one million, one hundred twenty-seven thousand, six hundred eighty".