361666560 has 192 divisors, whose sum is σ = 1182111840. Its totient is φ = 94371840.

The previous prime is 361666523. The next prime is 361666567. The reversal of 361666560 is 65666163.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (361666567) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1873824 + ... + 1874016.

Almost surely, 2^361666560 is an apocalyptic number.

361666560 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 361666560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591055920).

361666560 is an abundant number, since it is smaller than the sum of its proper divisors (820445280).

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

361666560 is a wasteful number, since it uses less digits than its factorization.

361666560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 39.

The square root of 361666560 is about 19017.5329630318. The cubic root of 361666560 is about 712.4747076279.

The spelling of 361666560 in words is "three hundred sixty-one million, six hundred sixty-six thousand, five hundred sixty".