201129696 has 96 divisors (see below), whose sum is σ = 589478400. Its totient is φ = 66718080.

The previous prime is 201129689. The next prime is 201129701. The reversal of 201129696 is 696921102.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×201129696² = 80906309226104832, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 201129696.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 233715 + ... + 234573.

It is an arithmetic number, because the mean of its divisors is an integer number (6140400).

Almost surely, 2^201129696 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 201129696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294739200).

201129696 is an abundant number, since it is smaller than the sum of its proper divisors (388348704).

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

201129696 is a wasteful number, since it uses less digits than its factorization.

201129696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1149 (or 1135 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 201129696 is about 14182.0201663938. The cubic root of 201129696 is about 585.9025646883.

The spelling of 201129696 in words is "two hundred one million, one hundred twenty-nine thousand, six hundred ninety-six".