160098400 has 288 divisors, whose sum is σ = 512967168. Its totient is φ = 47308800.

The previous prime is 160098383. The next prime is 160098413. The reversal of 160098400 is 4890061.

It is a Harshad number since it is a multiple of its sum of digits (28).

160098400 is a modest number, since divided by 98400 gives 1600 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1416744 + ... + 1416856.

It is an arithmetic number, because the mean of its divisors is an integer number (1781136).

Almost surely, 2^160098400 is an apocalyptic number.

160098400 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 160098400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256483584).

160098400 is an abundant number, since it is smaller than the sum of its proper divisors (352868768).

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

160098400 is a wasteful number, since it uses less digits than its factorization.

160098400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 160098400 is about 12652.9996443531. Note that the first 3 decimals coincide. The cubic root of 160098400 is about 542.9947916344.

It can be divided in two parts, 1600 and 98400, that added together give a 5-th power (100000 = 10⁵).

The spelling of 160098400 in words is "one hundred sixty million, ninety-eight thousand, four hundred".