201780096 has 128 divisors (see below), whose sum is σ = 617026560. Its totient is φ = 57231360.

The previous prime is 201780091. The next prime is 201780109. The reversal of 201780096 is 690087102.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201780091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 728310 + ... + 728586.

It is an arithmetic number, because the mean of its divisors is an integer number (4820520).

Almost surely, 2^201780096 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 201780096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308513280).

201780096 is an abundant number, since it is smaller than the sum of its proper divisors (415246464).

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

201780096 is a wasteful number, since it uses less digits than its factorization.

201780096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 201780096 is about 14204.9321012105. The cubic root of 201780096 is about 586.5334362290.

The spelling of 201780096 in words is "two hundred one million, seven hundred eighty thousand, ninety-six".