201879216 has 450 divisors, whose sum is σ = 787664988. Its totient is φ = 49351680.

The previous prime is 201879187. The next prime is 201879221. The reversal of 201879216 is 612978102.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 89 ways as a sum of consecutive naturals, for example, 11875240 + ... + 11875256.

Almost surely, 2^201879216 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 201879216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393832494).

201879216 is an abundant number, since it is smaller than the sum of its proper divisors (585785772).

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

201879216 is a wasteful number, since it uses less digits than its factorization.

201879216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 201879216 is about 14208.4206018825. The cubic root of 201879216 is about 586.6294610244.

It can be divided in two parts, 20187 and 9216, that added together give a triangular number (29403 = T₂₄₂).

The spelling of 201879216 in words is "two hundred one million, eight hundred seventy-nine thousand, two hundred sixteen".