160204800 has 288 divisors, whose sum is σ = 609336000. Its totient is φ = 36372480.

The previous prime is 160204771. The next prime is 160204819. The reversal of 160204800 is 8402061.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1075126 + ... + 1075274.

It is an arithmetic number, because the mean of its divisors is an integer number (2115750).

Almost surely, 2^160204800 is an apocalyptic number.

160204800 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 160204800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304668000).

160204800 is an abundant number, since it is smaller than the sum of its proper divisors (449131200).

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

160204800 is a wasteful number, since it uses less digits than its factorization.

160204800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 160204800 is about 12657.2034826023. The cubic root of 160204800 is about 543.1150548636.

Adding to 160204800 its reverse (8402061), we get a palindrome (168606861).

It can be divided in two parts, 160 and 204800, that multiplied together give a cube (32768000 = 320³).

The spelling of 160204800 in words is "one hundred sixty million, two hundred four thousand, eight hundred".