361361360 has 40 divisors (see below), whose sum is σ = 849621960. Its totient is φ = 142917632.

The previous prime is 361361359. The next prime is 361361369. The reversal of 361361360 is 63163163.

It can be written as a sum of positive squares in 4 ways, for example, as 56370064 + 304991296 = 7508^2 + 17464^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (361361369) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18257 + ... + 32496.

It is an arithmetic number, because the mean of its divisors is an integer number (21240549).

Almost surely, 2^361361360 is an apocalyptic number.

It is an amenable number.

361361360 is an abundant number, since it is smaller than the sum of its proper divisors (488260600).

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

361361360 is a wasteful number, since it uses less digits than its factorization.

361361360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50855 (or 50849 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 29.

The square root of 361361360 is about 19009.5070951353. The cubic root of 361361360 is about 712.2742389279.

The spelling of 361361360 in words is "three hundred sixty-one million, three hundred sixty-one thousand, three hundred sixty".