201599840 has 96 divisors (see below), whose sum is σ = 518446656. Its totient is φ = 73635840.

The previous prime is 201599833. The next prime is 201599843. The reversal of 201599840 is 48995102.

It is a junction number, because it is equal to n+sod(n) for n = 201599794 and 201599803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201599843) 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, 213770 + ... + 214710.

It is an arithmetic number, because the mean of its divisors is an integer number (5400486).

Almost surely, 2^201599840 is an apocalyptic number.

201599840 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 201599840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259223328).

201599840 is an abundant number, since it is smaller than the sum of its proper divisors (316846816).

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

201599840 is a wasteful number, since it uses less digits than its factorization.

201599840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1072 (or 1064 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 38.

The square root of 201599840 is about 14198.5858450763. The cubic root of 201599840 is about 586.3587284299.

The spelling of 201599840 in words is "two hundred one million, five hundred ninety-nine thousand, eight hundred forty".