201085416 has 144 divisors (see below), whose sum is σ = 657296640. Its totient is φ = 57425760.

The previous prime is 201085403. The next prime is 201085427. The reversal of 201085416 is 614580102.

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

It is a self number, because there is not a number n which added to its sum of digits gives 201085416.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 94201 + ... + 96311.

It is an arithmetic number, because the mean of its divisors is an integer number (4564560).

Almost surely, 2^201085416 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 201085416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328648320).

201085416 is an abundant number, since it is smaller than the sum of its proper divisors (456211224).

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

201085416 is a wasteful number, since it uses less digits than its factorization.

201085416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2146 (or 2123 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 201085416 is about 14180.4589488493. The cubic root of 201085416 is about 585.8595647895.

The spelling of 201085416 in words is "two hundred one million, eighty-five thousand, four hundred sixteen".