360816064 has 56 divisors (see below), whose sum is σ = 822086240. Its totient is φ = 153916416.

The previous prime is 360816059. The next prime is 360816067. The reversal of 360816064 is 460618063.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (360816067) 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, 100834 + ... + 104350.

Almost surely, 2^360816064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 360816064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411043120).

360816064 is an abundant number, since it is smaller than the sum of its proper divisors (461270176).

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

360816064 is a wasteful number, since it uses less digits than its factorization.

360816064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3765 (or 3755 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The square root of 360816064 is about 18995.1589622198. The cubic root of 360816064 is about 711.9157834996.

The spelling of 360816064 in words is "three hundred sixty million, eight hundred sixteen thousand, sixty-four".