160012800 has 240 divisors, whose sum is σ = 588593280. Its totient is φ = 42577920.

The previous prime is 160012781. The next prime is 160012819. The reversal of 160012800 is 8210061.

It is an interprime number because it is at equal distance from previous prime (160012781) and next prime (160012819).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 345369 + ... + 345831.

It is an arithmetic number, because the mean of its divisors is an integer number (2452472).

Almost surely, 2^160012800 is an apocalyptic number.

160012800 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 160012800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294296640).

160012800 is an abundant number, since it is smaller than the sum of its proper divisors (428580480).

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

160012800 is an equidigital number, since it uses as much as digits as its factorization.

160012800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 160012800 is about 12649.6165949803. The cubic root of 160012800 is about 542.8979998269.

Adding to 160012800 its reverse (8210061), we get a palindrome (168222861).

It can be divided in two parts, 1600 and 12800, that added together give a square (14400 = 120²).

The spelling of 160012800 in words is "one hundred sixty million, twelve thousand, eight hundred".