361800 has 96 divisors (see below), whose sum is σ = 1264800. Its totient is φ = 95040.

The previous prime is 361799. The next prime is 361807. The reversal of 361800 is 8163.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (361807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5367 + ... + 5433.

It is an arithmetic number, because the mean of its divisors is an integer number (13175).

2³⁶¹⁸⁰⁰ is an apocalyptic number.

361800 is a gapful number since it is divisible by the number (30) 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 361800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632400).

361800 is an abundant number, since it is smaller than the sum of its proper divisors (903000).

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

361800 is a wasteful number, since it uses less digits than its factorization.

361800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 361800 is about 601.4981296729. The cubic root of 361800 is about 71.2562321418.

361800 divided by its sum of digits (18) gives a triangular number (20100 = T₂₀₀).

Adding to 361800 its reverse (8163), we get a palindrome (369963).

The spelling of 361800 in words is "three hundred sixty-one thousand, eight hundred".