361580544 has 192 divisors, whose sum is σ = 1155772800. Its totient is φ = 111034368.

The previous prime is 361580533. The next prime is 361580579. The reversal of 361580544 is 445085163.

It is a happy number.

361580544 is a `hidden beast` number, since 3 + 61 + 58 + 0 + 544 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 361580499 and 361580508.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 718597 + ... + 719099.

It is an arithmetic number, because the mean of its divisors is an integer number (6019650).

Almost surely, 2^361580544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 361580544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577886400).

361580544 is an abundant number, since it is smaller than the sum of its proper divisors (794192256).

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

361580544 is a wasteful number, since it uses less digits than its factorization.

361580544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 361580544 is about 19015.2713364811. The cubic root of 361580544 is about 712.4182199766.

The spelling of 361580544 in words is "three hundred sixty-one million, five hundred eighty thousand, five hundred forty-four".