201597120 has 112 divisors (see below), whose sum is σ = 711220320. Its totient is φ = 53756928.

The previous prime is 201597119. The next prime is 201597161. The reversal of 201597120 is 21795102.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 3027 + ... + 20306.

Almost surely, 2^201597120 is an apocalyptic number.

201597120 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 201597120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355610160).

201597120 is an abundant number, since it is smaller than the sum of its proper divisors (509623200).

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

201597120 is a wasteful number, since it uses less digits than its factorization.

201597120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23359 (or 23343 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 201597120 is about 14198.4900605663. The cubic root of 201597120 is about 586.3560913528.

The spelling of 201597120 in words is "two hundred one million, five hundred ninety-seven thousand, one hundred twenty".