360239616 has 320 divisors, whose sum is σ = 1225635840. Its totient is φ = 103403520.

The previous prime is 360239611. The next prime is 360239641. The reversal of 360239616 is 616932063.

360239616 is a `hidden beast` number, since 3 + 6 + 0 + 2 + 39 + 616 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (360239611) 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, 3497421 + ... + 3497523.

It is an arithmetic number, because the mean of its divisors is an integer number (3830112).

Almost surely, 2^360239616 is an apocalyptic number.

360239616 is a gapful number since it is divisible by the number (36) 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 360239616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612817920).

360239616 is an abundant number, since it is smaller than the sum of its proper divisors (865396224).

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

360239616 is a wasteful number, since it uses less digits than its factorization.

360239616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 360239616 is about 18979.9793466695. The cubic root of 360239616 is about 711.5364571057.

The spelling of 360239616 in words is "three hundred sixty million, two hundred thirty-nine thousand, six hundred sixteen".