201887376 has 160 divisors (see below), whose sum is σ = 596533248. Its totient is φ = 58460160.

The previous prime is 201887347. The next prime is 201887377. The reversal of 201887376 is 673788102.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (201887377) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 581635 + ... + 581981.

Almost surely, 2^201887376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201887376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298266624).

201887376 is an abundant number, since it is smaller than the sum of its proper divisors (394645872).

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

201887376 is a wasteful number, since it uses less digits than its factorization.

201887376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 42.

The square root of 201887376 is about 14208.7077526424. The cubic root of 201887376 is about 586.6373648129.

The spelling of 201887376 in words is "two hundred one million, eight hundred eighty-seven thousand, three hundred seventy-six".