360123664 has 60 divisors (see below), whose sum is σ = 736429428. Its totient is φ = 170496000.

The previous prime is 360123661. The next prime is 360123671. The reversal of 360123664 is 466321063.

It can be written as a sum of positive squares in 6 ways, for example, as 87609600 + 272514064 = 9360^2 + 16508^2 .

It is not an unprimeable number, because it can be changed into a prime (360123661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 897864 + ... + 898264.

Almost surely, 2^360123664 is an apocalyptic number.

It is an amenable number.

360123664 is an abundant number, since it is smaller than the sum of its proper divisors (376305764).

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

360123664 is a wasteful number, since it uses less digits than its factorization.

360123664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 31.

The square root of 360123664 is about 18976.9245137351. The cubic root of 360123664 is about 711.4601070642.

The spelling of 360123664 in words is "three hundred sixty million, one hundred twenty-three thousand, six hundred sixty-four".