201250080 has 144 divisors (see below), whose sum is σ = 727252344. Its totient is φ = 50503680.

The previous prime is 201250057. The next prime is 201250087. The reversal of 201250080 is 80052102.

It can be written as a sum of positive squares in 4 ways, for example, as 200845584 + 404496 = 14172^2 + 636^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201250087) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20370 + ... + 28590.

Almost surely, 2^201250080 is an apocalyptic number.

201250080 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 201250080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363626172).

201250080 is an abundant number, since it is smaller than the sum of its proper divisors (526002264).

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

201250080 is a wasteful number, since it uses less digits than its factorization.

201250080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8259 (or 8248 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 201250080 is about 14186.2637787403. The cubic root of 201250080 is about 586.0194365842.

The spelling of 201250080 in words is "two hundred one million, two hundred fifty thousand, eighty".