361615104 has 108 divisors (see below), whose sum is σ = 1081427256. Its totient is φ = 120517632.

The previous prime is 361615091. The next prime is 361615139. The reversal of 361615104 is 401516163.

361615104 is a `hidden beast` number, since 36 + 1 + 615 + 10 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (108).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59302 + ... + 65114.

Almost surely, 2^361615104 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 361615104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540713628).

361615104 is an abundant number, since it is smaller than the sum of its proper divisors (719812152).

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

361615104 is an frugal number, since it uses more digits than its factorization.

361615104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5844 (or 5818 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 361615104 is about 19016.1800580453. The cubic root of 361615104 is about 712.4409169844.

The spelling of 361615104 in words is "three hundred sixty-one million, six hundred fifteen thousand, one hundred four".