200052160 has 224 divisors, whose sum is σ = 621499392. Its totient is φ = 59473920.

The previous prime is 200052143. The next prime is 200052173. The reversal of 200052160 is 61250002.

It is a happy number.

200052160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

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, 566544 + ... + 566896.

Almost surely, 2^200052160 is an apocalyptic number.

200052160 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 200052160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310749696).

200052160 is an abundant number, since it is smaller than the sum of its proper divisors (421447232).

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

200052160 is a wasteful number, since it uses less digits than its factorization.

200052160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 200052160 is about 14143.9796379944. The cubic root of 200052160 is about 584.8543821454.

The spelling of 200052160 in words is "two hundred million, fifty-two thousand, one hundred sixty".