201895560 has 192 divisors, whose sum is σ = 688896000. Its totient is φ = 51217920.

The previous prime is 201895559. The next prime is 201895571. The reversal of 201895560 is 65598102.

It is a happy number.

201895560 is a `hidden beast` number, since 2 + 0 + 1 + 8 + 95 + 560 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 881526 + ... + 881754.

It is an arithmetic number, because the mean of its divisors is an integer number (3588000).

Almost surely, 2^201895560 is an apocalyptic number.

201895560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201895560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344448000).

201895560 is an abundant number, since it is smaller than the sum of its proper divisors (487000440).

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

201895560 is a wasteful number, since it uses less digits than its factorization.

201895560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 201895560 is about 14208.9957421346. The cubic root of 201895560 is about 586.6452916340.

The spelling of 201895560 in words is "two hundred one million, eight hundred ninety-five thousand, five hundred sixty".