161204800 has 84 divisors (see below), whose sum is σ = 404361396. Its totient is φ = 63232000.

The previous prime is 161204789. The next prime is 161204839. The reversal of 161204800 is 8402161.

It can be written as a sum of positive squares in 6 ways, for example, as 11778624 + 149426176 = 3432^2 + 12224^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 83850 + ... + 85750.

Almost surely, 2^161204800 is an apocalyptic number.

161204800 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 161204800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202180698).

161204800 is an abundant number, since it is smaller than the sum of its proper divisors (243156596).

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

161204800 is a wasteful number, since it uses less digits than its factorization.

161204800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1976 (or 1961 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 161204800 is about 12696.6452262005. The cubic root of 161204800 is about 544.2427549785.

Adding to 161204800 its reverse (8402161), we get a palindrome (169606961).

The spelling of 161204800 in words is "one hundred sixty-one million, two hundred four thousand, eight hundred".