201841920 has 216 divisors, whose sum is σ = 798435456. Its totient is φ = 46116864.

The previous prime is 201841907. The next prime is 201841933. The reversal of 201841920 is 29148102.

It is an interprime number because it is at equal distance from previous prime (201841907) and next prime (201841933).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 23 ways as a sum of consecutive naturals, for example, 79389 + ... + 81891.

Almost surely, 2^201841920 is an apocalyptic number.

201841920 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 201841920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399217728).

201841920 is an abundant number, since it is smaller than the sum of its proper divisors (596593536).

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

201841920 is a wasteful number, since it uses less digits than its factorization.

201841920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2537 (or 2520 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 201841920 is about 14207.1080801126. The cubic root of 201841920 is about 586.5933333498.

The spelling of 201841920 in words is "two hundred one million, eight hundred forty-one thousand, nine hundred twenty".