360113600 has 336 divisors, whose sum is σ = 1148974080. Its totient is φ = 107827200.

The previous prime is 360113591. The next prime is 360113609. The reversal of 360113600 is 6311063.

It is an interprime number because it is at equal distance from previous prime (360113591) and next prime (360113609).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (360113609) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4558361 + ... + 4558439.

Almost surely, 2^360113600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 360113600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574487040).

360113600 is an abundant number, since it is smaller than the sum of its proper divisors (788860480).

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

360113600 is a wasteful number, since it uses less digits than its factorization.

360113600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

The square root of 360113600 is about 18976.6593477356. The cubic root of 360113600 is about 711.4534795249.

Adding to 360113600 its reverse (6311063), we get a palindrome (366424663).

The spelling of 360113600 in words is "three hundred sixty million, one hundred thirteen thousand, six hundred".