161744800 has 144 divisors (see below), whose sum is σ = 478094400. Its totient is φ = 52162560.

The previous prime is 161744789. The next prime is 161744819. The reversal of 161744800 is 8447161.

It is a super-2 number, since 2×161744800² = 52322760654080000, which contains 22 as substring.

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, 94351 + ... + 96049.

It is an arithmetic number, because the mean of its divisors is an integer number (3320100).

Almost surely, 2^161744800 is an apocalyptic number.

161744800 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 161744800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239047200).

161744800 is an abundant number, since it is smaller than the sum of its proper divisors (316349600).

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

161744800 is a wasteful number, since it uses less digits than its factorization.

161744800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1743 (or 1730 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 31.

The square root of 161744800 is about 12717.8929072390. The cubic root of 161744800 is about 544.8497748286.

The spelling of 161744800 in words is "one hundred sixty-one million, seven hundred forty-four thousand, eight hundred".