160988800 has 96 divisors (see below), whose sum is σ = 454569120. Its totient is φ = 55188480.

The previous prime is 160988741. The next prime is 160988803. The reversal of 160988800 is 8889061.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (160988803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18807 + ... + 25993.

It is an arithmetic number, because the mean of its divisors is an integer number (4735095).

Almost surely, 2^160988800 is an apocalyptic number.

160988800 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 160988800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227284560).

160988800 is an abundant number, since it is smaller than the sum of its proper divisors (293580320).

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

160988800 is an equidigital number, since it uses as much as digits as its factorization.

160988800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7218 (or 7201 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 40.

The square root of 160988800 is about 12688.1361909462. The cubic root of 160988800 is about 543.9995674737. Note that the first 3 decimals are identical.

It can be divided in two parts, 1609 and 88800, that added together give a palindrome (90409).

The spelling of 160988800 in words is "one hundred sixty million, nine hundred eighty-eight thousand, eight hundred".