201983040 has 336 divisors, whose sum is σ = 815937408. Its totient is φ = 44900352.

The previous prime is 201983039. The next prime is 201983077. The reversal of 201983040 is 40389102.

It is a tau number, because it is divible by the number of its divisors (336).

It is a junction number, because it is equal to n+sod(n) for n = 201982995 and 201983013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 866764 + ... + 866996.

Almost surely, 2^201983040 is an apocalyptic number.

201983040 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 201983040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407968704).

201983040 is an abundant number, since it is smaller than the sum of its proper divisors (613954368).

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

201983040 is a wasteful number, since it uses less digits than its factorization.

201983040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 293 counting only the distinct ones).

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

The square root of 201983040 is about 14212.0737403097. The cubic root of 201983040 is about 586.7300092304.

The spelling of 201983040 in words is "two hundred one million, nine hundred eighty-three thousand, forty".