360368640 has 120 divisors (see below), whose sum is σ = 1248137748. Its totient is φ = 96092160.

The previous prime is 360368633. The next prime is 360368651. The reversal of 360368640 is 46863063.

360368640 is a `hidden beast` number, since 3 + 6 + 0 + 3 + 6 + 8 + 640 = 666.

360368640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 330948864 + 29419776 = 18192^2 + 5424^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a junction number, because it is equal to n+sod(n) for n = 360368595 and 360368604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15220 + ... + 30860.

Almost surely, 2^360368640 is an apocalyptic number.

360368640 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 360368640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624068874).

360368640 is an abundant number, since it is smaller than the sum of its proper divisors (887769108).

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

360368640 is a wasteful number, since it uses less digits than its factorization.

360368640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15670 (or 15651 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 360368640 is about 18983.3779923385. The cubic root of 360368640 is about 711.6213953131.

It can be divided in two parts, 360 and 368640, that multiplied together give a square (132710400 = 11520²).

The spelling of 360368640 in words is "three hundred sixty million, three hundred sixty-eight thousand, six hundred forty".