201856000 has 176 divisors, whose sum is σ = 536477760. Its totient is φ = 75571200.

The previous prime is 201855991. The next prime is 201856003. The reversal of 201856000 is 658102.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201856003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2431959 + ... + 2432041.

Almost surely, 2^201856000 is an apocalyptic number.

201856000 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 201856000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268238880).

201856000 is an abundant number, since it is smaller than the sum of its proper divisors (334621760).

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

201856000 is an equidigital number, since it uses as much as digits as its factorization.

201856000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 201856000 is about 14207.6035980738. The cubic root of 201856000 is about 586.6069728060.

The spelling of 201856000 in words is "two hundred one million, eight hundred fifty-six thousand".