360215040 has 320 divisors, whose sum is σ = 1272775680. Its totient is φ = 86507520.

The previous prime is 360215039. The next prime is 360215041. The reversal of 360215040 is 40512063.

It is a happy number.

360215040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (360215039) and next prime (360215041).

It is a tau number, because it is divible by the number of its divisors (320).

It is a junction number, because it is equal to n+sod(n) for n = 360214998 and 360215016.

It is not an unprimeable number, because it can be changed into a prime (360215041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4047316 + ... + 4047404.

It is an arithmetic number, because the mean of its divisors is an integer number (3977424).

Almost surely, 2^360215040 is an apocalyptic number.

360215040 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 360215040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636387840).

360215040 is an abundant number, since it is smaller than the sum of its proper divisors (912560640).

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

360215040 is a wasteful number, since it uses less digits than its factorization.

360215040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 360215040 is about 18979.3319165876. The cubic root of 360215040 is about 711.5202761002.

The spelling of 360215040 in words is "three hundred sixty million, two hundred fifteen thousand, forty".