160387200 has 144 divisors (see below), whose sum is σ = 572401050. Its totient is φ = 42762240.

The previous prime is 160387141. The next prime is 160387207. The reversal of 160387200 is 2783061.

It can be written as a sum of positive squares in 3 ways, for example, as 92621376 + 67765824 = 9624^2 + 8232^2 .

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

It is not an unprimeable number, because it can be changed into a prime (160387207) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 26016 + ... + 31584.

Almost surely, 2^160387200 is an apocalyptic number.

160387200 is a gapful number since it is divisible by the number (10) 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 160387200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286200525).

160387200 is an abundant number, since it is smaller than the sum of its proper divisors (412013850).

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

160387200 is a wasteful number, since it uses less digits than its factorization.

160387200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5599 (or 5579 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 160387200 is about 12664.4068159547. The cubic root of 160387200 is about 543.3210965750.

The spelling of 160387200 in words is "one hundred sixty million, three hundred eighty-seven thousand, two hundred".