201185856 has 105 divisors (see below), whose sum is σ = 599420569. Its totient is φ = 66721536.

The previous prime is 201185849. The next prime is 201185861. The reversal of 201185856 is 658581102.

The square root of 201185856 is 14184.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 197121600 + 4064256 = 14040^2 + 2016^2 .

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

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 201185856.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1021150 + ... + 1021346.

Almost surely, 2^201185856 is an apocalyptic number.

201185856 is the 14184-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201185856

201185856 is an abundant number, since it is smaller than the sum of its proper divisors (398234713).

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

201185856 is an frugal number, since it uses more digits than its factorization.

201185856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 36.

The cubic root of 201185856 is about 585.9570920681.

Multiplying 201185856 by its sum of digits (36), we get a square (7242690816 = 85104²).

201185856 divided by its sum of digits (36) gives a square (5588496 = 2364²).

The spelling of 201185856 in words is "two hundred one million, one hundred eighty-five thousand, eight hundred fifty-six".