161305600 has 66 divisors (see below), whose sum is σ = 399906014. Its totient is φ = 64512000.

The previous prime is 161305591. The next prime is 161305657. The reversal of 161305600 is 6503161.

It can be written as a sum of positive squares in 3 ways, for example, as 14992384 + 146313216 = 3872^2 + 12096^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 22450 + ... + 28750.

Almost surely, 2^161305600 is an apocalyptic number.

161305600 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 161305600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199953007).

161305600 is an abundant number, since it is smaller than the sum of its proper divisors (238600414).

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

161305600 is an equidigital number, since it uses as much as digits as its factorization.

161305600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6331 (or 6308 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 22.

The square root of 161305600 is about 12700.6141583783. The cubic root of 161305600 is about 544.3561681425.

Adding to 161305600 its reverse (6503161), we get a palindrome (167808761).

The spelling of 161305600 in words is "one hundred sixty-one million, three hundred five thousand, six hundred".