201839040 has 280 divisors, whose sum is σ = 774496800. Its totient is φ = 49600512.

The previous prime is 201839021. The next prime is 201839063. The reversal of 201839040 is 40938102.

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

It is a junction number, because it is equal to n+sod(n) for n = 201838995 and 201839013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 336661 + ... + 337259.

It is an arithmetic number, because the mean of its divisors is an integer number (2766060).

Almost surely, 2^201839040 is an apocalyptic number.

201839040 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 201839040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387248400).

201839040 is an abundant number, since it is smaller than the sum of its proper divisors (572657760).

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

201839040 is a wasteful number, since it uses less digits than its factorization.

201839040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 201839040 is about 14207.0067220368. The cubic root of 201839040 is about 586.5905433829.

The spelling of 201839040 in words is "two hundred one million, eight hundred thirty-nine thousand, forty".