201968160 has 192 divisors, whose sum is σ = 687802752. Its totient is φ = 49627136.

The previous prime is 201968147. The next prime is 201968183. The reversal of 201968160 is 61869102.

It is a super-2 number, since 2×201968160² = 81582275307571200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 432247 + ... + 432713.

It is an arithmetic number, because the mean of its divisors is an integer number (3582306).

Almost surely, 2^201968160 is an apocalyptic number.

201968160 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 201968160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343901376).

201968160 is an abundant number, since it is smaller than the sum of its proper divisors (485834592).

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

201968160 is a wasteful number, since it uses less digits than its factorization.

201968160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555 (or 547 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 201968160 is about 14211.5502321175. The cubic root of 201968160 is about 586.7156008310.

The spelling of 201968160 in words is "two hundred one million, nine hundred sixty-eight thousand, one hundred sixty".