360622080 has 576 divisors, whose sum is σ = 1574052480. Its totient is φ = 74317824.

The previous prime is 360622079. The next prime is 360622103. The reversal of 360622080 is 80226063.

360622080 is a `hidden beast` number, since 36 + 0 + 622 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8386539 + ... + 8386581.

It is an arithmetic number, because the mean of its divisors is an integer number (2732730).

Almost surely, 2^360622080 is an apocalyptic number.

360622080 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 360622080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (787026240).

360622080 is an abundant number, since it is smaller than the sum of its proper divisors (1213430400).

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

360622080 is a wasteful number, since it uses less digits than its factorization.

360622080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 360622080 is about 18990.0521326299. The cubic root of 360622080 is about 711.7881792146.

The spelling of 360622080 in words is "three hundred sixty million, six hundred twenty-two thousand, eighty".