361840560 has 160 divisors (see below), whose sum is σ = 1198018560. Its totient is φ = 90077184.

The previous prime is 361840559. The next prime is 361840679. The reversal of 361840560 is 65048163.

It is a super-2 number, since 2×361840560² = 261857181722227200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 332337 + ... + 333423.

It is an arithmetic number, because the mean of its divisors is an integer number (7487616).

Almost surely, 2^361840560 is an apocalyptic number.

361840560 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 361840560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599009280).

361840560 is an abundant number, since it is smaller than the sum of its proper divisors (836178000).

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

361840560 is a wasteful number, since it uses less digits than its factorization.

361840560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1195 (or 1189 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 361840560 is about 19022.1071388004. The cubic root of 361840560 is about 712.5889479597.

The spelling of 361840560 in words is "three hundred sixty-one million, eight hundred forty thousand, five hundred sixty".