360065160 has 384 divisors, whose sum is σ = 1493856000. Its totient is φ = 73156608.

The previous prime is 360065137. The next prime is 360065191. The reversal of 360065160 is 61560063.

360065160 is a `hidden beast` number, since 3 + 6 + 0 + 0 + 651 + 6 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 949851 + ... + 950229.

It is an arithmetic number, because the mean of its divisors is an integer number (3890250).

Almost surely, 2^360065160 is an apocalyptic number.

360065160 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 360065160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746928000).

360065160 is an abundant number, since it is smaller than the sum of its proper divisors (1133790840).

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

360065160 is a wasteful number, since it uses less digits than its factorization.

360065160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 360065160 is about 18975.3830000872. The cubic root of 360065160 is about 711.4215781546.

The spelling of 360065160 in words is "three hundred sixty million, sixty-five thousand, one hundred sixty".