161236800 has 126 divisors (see below), whose sum is σ = 573124838. Its totient is φ = 42992640.

The previous prime is 161236783. The next prime is 161236813. The reversal of 161236800 is 8632161.

It can be written as a sum of positive squares in 3 ways, for example, as 1871424 + 159365376 = 1368^2 + 12624^2 .

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 17 ways as a sum of consecutive naturals, for example, 8802 + ... + 19998.

Almost surely, 2^161236800 is an apocalyptic number.

161236800 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 161236800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286562419).

161236800 is an abundant number, since it is smaller than the sum of its proper divisors (411888038).

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

161236800 is a wasteful number, since it uses less digits than its factorization.

161236800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11225 (or 11207 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 161236800 is about 12697.9053390707. The cubic root of 161236800 is about 544.2787642783.

Adding to 161236800 its reverse (8632161), we get a palindrome (169868961).

The spelling of 161236800 in words is "one hundred sixty-one million, two hundred thirty-six thousand, eight hundred".