201842064 has 80 divisors (see below), whose sum is σ = 591747840. Its totient is φ = 65842560.

The previous prime is 201842051. The next prime is 201842087. The reversal of 201842064 is 460248102.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15334 + ... + 25274.

It is an arithmetic number, because the mean of its divisors is an integer number (7396848).

Almost surely, 2^201842064 is an apocalyptic number.

201842064 is a gapful number since it is divisible by the number (24) 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 201842064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295873920).

201842064 is an abundant number, since it is smaller than the sum of its proper divisors (389905776).

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

201842064 is a wasteful number, since it uses less digits than its factorization.

201842064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10005 (or 9993 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 201842064 is about 14207.1131479974. The cubic root of 201842064 is about 586.5934728474.

The spelling of 201842064 in words is "two hundred one million, eight hundred forty-two thousand, sixty-four".