201947520 has 128 divisors (see below), whose sum is σ = 650384640. Its totient is φ = 53295104.

The previous prime is 201947491. The next prime is 201947527. The reversal of 201947520 is 25749102.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201947527) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 204949 + ... + 205931.

It is an arithmetic number, because the mean of its divisors is an integer number (5081130).

Almost surely, 2^201947520 is an apocalyptic number.

201947520 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 201947520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325192320).

201947520 is an abundant number, since it is smaller than the sum of its proper divisors (448437120).

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

201947520 is a wasteful number, since it uses less digits than its factorization.

201947520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1112 (or 1100 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 201947520 is about 14210.8240436647. The cubic root of 201947520 is about 586.6956138150.

The spelling of 201947520 in words is "two hundred one million, nine hundred forty-seven thousand, five hundred twenty".