361824 has 24 divisors (see below), whose sum is σ = 950040. Its totient is φ = 120576.

The previous prime is 361807. The next prime is 361843. The reversal of 361824 is 428163.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (24).

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

It is a nude number because it is divisible by every one of its digits.

It is one of the 548 Lynch-Bell numbers.

It is a junction number, because it is equal to n+sod(n) for n = 361794 and 361803.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 361824.

It is an unprimeable number.

361824 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 3 ways as a sum of consecutive naturals, for example, 1789 + ... + 1980.

It is an arithmetic number, because the mean of its divisors is an integer number (39585).

2³⁶¹⁸²⁴ is an apocalyptic number.

It is an amenable number.

361824 is an abundant number, since it is smaller than the sum of its proper divisors (588216).

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

361824 is a wasteful number, since it uses less digits than its factorization.

361824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3782 (or 3774 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 361824 is about 601.5180795288. The cubic root of 361824 is about 71.2578077009.

Adding to 361824 its reverse (428163), we get a palindrome (789987).

The spelling of 361824 in words is "three hundred sixty-one thousand, eight hundred twenty-four".