361644 has 12 divisors (see below), whose sum is σ = 843864. Its totient is φ = 120544.

The previous prime is 361643. The next prime is 361649. The reversal of 361644 is 446163.

361644 is nontrivially palindromic in base 5.

It is a tau number, because it is divible by the number of its divisors (12).

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

It is a plaindrome in base 11.

It is a zygodrome in base 11.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 361644.

It is not an unprimeable number, because it can be changed into a prime (361643) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 15057 + ... + 15080.

It is an arithmetic number, because the mean of its divisors is an integer number (70322).

2³⁶¹⁶⁴⁴ is an apocalyptic number.

It is an amenable number.

361644 is an abundant number, since it is smaller than the sum of its proper divisors (482220).

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

361644 is a wasteful number, since it uses less digits than its factorization.

361644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30144 (or 30142 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

The square root of 361644 is about 601.3684394778. The cubic root of 361644 is about 71.2459893095.

The spelling of 361644 in words is "three hundred sixty-one thousand, six hundred forty-four".