201925080 has 144 divisors (see below), whose sum is σ = 763467120. Its totient is φ = 46150272.

The previous prime is 201925063. The next prime is 201925093. The reversal of 201925080 is 80529102.

201925080 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11917 + ... + 23363.

It is an arithmetic number, because the mean of its divisors is an integer number (5301855).

Almost surely, 2^201925080 is an apocalyptic number.

201925080 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 201925080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381733560).

201925080 is an abundant number, since it is smaller than the sum of its proper divisors (561542040).

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

201925080 is a wasteful number, since it uses less digits than its factorization.

201925080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11478 (or 11464 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 201925080 is about 14210.0344827168. The cubic root of 201925080 is about 586.6738822001.

The spelling of 201925080 in words is "two hundred one million, nine hundred twenty-five thousand, eighty".