201171648 has 112 divisors (see below), whose sum is σ = 558166016. Its totient is φ = 63866880.

The previous prime is 201171643. The next prime is 201171653. The reversal of 201171648 is 846171102.

It is an interprime number because it is at equal distance from previous prime (201171643) and next prime (201171653).

It is not an unprimeable number, because it can be changed into a prime (201171643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 434265 + ... + 434727.

Almost surely, 2^201171648 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 201171648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279083008).

201171648 is an abundant number, since it is smaller than the sum of its proper divisors (356994368).

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

201171648 is a wasteful number, since it uses less digits than its factorization.

201171648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 30.

The square root of 201171648 is about 14183.4991451334. The cubic root of 201171648 is about 585.9432980660.

The spelling of 201171648 in words is "two hundred one million, one hundred seventy-one thousand, six hundred forty-eight".