201738040 has 64 divisors (see below), whose sum is σ = 531437760. Its totient is φ = 67476480.

The previous prime is 201738013. The next prime is 201738071. The reversal of 201738040 is 40837102.

It is a junction number, because it is equal to n+sod(n) for n = 201737996 and 201738014.

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 15 ways as a sum of consecutive naturals, for example, 2694 + ... + 20266.

It is an arithmetic number, because the mean of its divisors is an integer number (8303715).

Almost surely, 2^201738040 is an apocalyptic number.

201738040 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 201738040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265718880).

201738040 is an abundant number, since it is smaller than the sum of its proper divisors (329699720).

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

201738040 is a wasteful number, since it uses less digits than its factorization.

201738040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17632 (or 17628 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 201738040 is about 14203.4516931625. The cubic root of 201738040 is about 586.4926840031.

The spelling of 201738040 in words is "two hundred one million, seven hundred thirty-eight thousand, forty".