360061200 has 150 divisors (see below), whose sum is σ = 1292347034. Its totient is φ = 96007680.

The previous prime is 360061193. The next prime is 360061201. The reversal of 360061200 is 2160063.

It is a happy number.

360061200 is a `hidden beast` number, since 3 + 600 + 61 + 2 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 4210704 + 355850496 = 2052^2 + 18864^2 .

It is a tau number, because it is divible by the number of its divisors (150).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (360061201) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 26844 + ... + 37956.

Almost surely, 2^360061200 is an apocalyptic number.

360061200 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 360061200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646173517).

360061200 is an abundant number, since it is smaller than the sum of its proper divisors (932285834).

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

360061200 is a wasteful number, since it uses less digits than its factorization.

360061200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11143 (or 11123 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 360061200 is about 18975.2786540804. The cubic root of 360061200 is about 711.4189700714.

The spelling of 360061200 in words is "three hundred sixty million, sixty-one thousand, two hundred".