360648960 has 144 divisors (see below), whose sum is σ = 1316466816. Its totient is φ = 82427904.

The previous prime is 360648949. The next prime is 360648971. The reversal of 360648960 is 69846063.

It is an interprime number because it is at equal distance from previous prime (360648949) and next prime (360648971).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20172 + ... + 33588.

Almost surely, 2^360648960 is an apocalyptic number.

360648960 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 360648960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658233408).

360648960 is an abundant number, since it is smaller than the sum of its proper divisors (955817856).

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

360648960 is a wasteful number, since it uses less digits than its factorization.

360648960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13448 (or 13434 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The square root of 360648960 is about 18990.7598584154. The cubic root of 360648960 is about 711.8058638324.

The spelling of 360648960 in words is "three hundred sixty million, six hundred forty-eight thousand, nine hundred sixty".