201206880 has 144 divisors (see below), whose sum is σ = 784746144. Its totient is φ = 45987840.

The previous prime is 201206813. The next prime is 201206881. The reversal of 201206880 is 88602102.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201206881) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 100 + ... + 20060.

It is an arithmetic number, because the mean of its divisors is an integer number (5449626).

Almost surely, 2^201206880 is an apocalyptic number.

201206880 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 201206880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392373072).

201206880 is an abundant number, since it is smaller than the sum of its proper divisors (583539264).

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

201206880 is a wasteful number, since it uses less digits than its factorization.

201206880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19989 (or 19978 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 201206880 is about 14184.7410973905. The cubic root of 201206880 is about 585.9775022716.

Adding to 201206880 its reverse (88602102), we get a palindrome (289808982).

It can be divided in two parts, 20120 and 6880, that added together give a cube (27000 = 30³).

The spelling of 201206880 in words is "two hundred one million, two hundred six thousand, eight hundred eighty".