360501516 has 120 divisors (see below), whose sum is σ = 1001018480. Its totient is φ = 112814208.

The previous prime is 360501509. The next prime is 360501571. The reversal of 360501516 is 615105063.

It is a happy number.

360501516 is a `hidden beast` number, since 3 + 605 + 0 + 1 + 51 + 6 = 666.

It is a super-2 number, since 2×360501516² = 259922686076596512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 360501516.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 966306 + ... + 966678.

Almost surely, 2^360501516 is an apocalyptic number.

360501516 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 360501516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500509240).

360501516 is an abundant number, since it is smaller than the sum of its proper divisors (640516964).

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

360501516 is a wasteful number, since it uses less digits than its factorization.

360501516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 565 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 360501516 is about 18986.8774683991. The cubic root of 360501516 is about 711.7088481550.

Adding to 360501516 its reverse (615105063), we get a palindrome (975606579).

The spelling of 360501516 in words is "three hundred sixty million, five hundred one thousand, five hundred sixteen".