360064 has 32 divisors (see below), whose sum is σ = 749700. Its totient is φ = 172032.

The previous prime is 360053. The next prime is 360071. The reversal of 360064 is 460063.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 360000 + 64 = 600^2 + 8^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a zygodrome in base 4.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3664 + ... + 3760.

2³⁶⁰⁰⁶⁴ 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 360064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374850).

360064 is an abundant number, since it is smaller than the sum of its proper divisors (389636).

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

360064 is an equidigital number, since it uses as much as digits as its factorization.

360064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 360064 is about 600.0533309632. The cubic root of 360064 is about 71.1420814173.

Subtracting 360064 from its reverse (460063), we obtain a palindrome (99999).

It can be divided in two parts, 3600 and 64, that multiplied together give a square (230400 = 480²).

The spelling of 360064 in words is "three hundred sixty thousand, sixty-four".