161181600 has 144 divisors (see below), whose sum is σ = 528716160. Its totient is φ = 42649600.

The previous prime is 161181599. The next prime is 161181611. The reversal of 161181600 is 6181161.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 573460 + ... + 573740.

It is an arithmetic number, because the mean of its divisors is an integer number (3671640).

Almost surely, 2^161181600 is an apocalyptic number.

161181600 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 161181600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264358080).

161181600 is an abundant number, since it is smaller than the sum of its proper divisors (367534560).

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

161181600 is a wasteful number, since it uses less digits than its factorization.

161181600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 24.

The square root of 161181600 is about 12695.7315661603. The cubic root of 161181600 is about 544.2166452562.

The spelling of 161181600 in words is "one hundred sixty-one million, one hundred eighty-one thousand, six hundred".