360353664 has 128 divisors (see below), whose sum is σ = 1160352000. Its totient is φ = 109186560.

The previous prime is 360353663. The next prime is 360353701. The reversal of 360353664 is 466353063.

It is a happy number.

360353664 is a `hidden beast` number, since 3 + 60 + 3 + 536 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (360353663) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33277 + ... + 42755.

It is an arithmetic number, because the mean of its divisors is an integer number (9065250).

Almost surely, 2^360353664 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 360353664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580176000).

360353664 is an abundant number, since it is smaller than the sum of its proper divisors (799998336).

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

360353664 is a wasteful number, since it uses less digits than its factorization.

360353664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9513 (or 9495 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 36.

The square root of 360353664 is about 18982.9835378952. The cubic root of 360353664 is about 711.6115374542.

The spelling of 360353664 in words is "three hundred sixty million, three hundred fifty-three thousand, six hundred sixty-four".