201536880 has 80 divisors (see below), whose sum is σ = 626236704. Its totient is φ = 53616640.

The previous prime is 201536849. The next prime is 201536903. The reversal of 201536880 is 88635102.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×201536880² = 81234228000268800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 147400 + ... + 148760.

Almost surely, 2^201536880 is an apocalyptic number.

201536880 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 201536880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313118352).

201536880 is an abundant number, since it is smaller than the sum of its proper divisors (424699824).

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

201536880 is a wasteful number, since it uses less digits than its factorization.

201536880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1994 (or 1988 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 201536880 is about 14196.3685497383. The cubic root of 201536880 is about 586.2976817721.

The spelling of 201536880 in words is "two hundred one million, five hundred thirty-six thousand, eight hundred eighty".