360879120 has 360 divisors, whose sum is σ = 1443865176. Its totient is φ = 80510976.

The previous prime is 360879119. The next prime is 360879121. The reversal of 360879120 is 21978063.

It is an interprime number because it is at equal distance from previous prime (360879119) and next prime (360879121).

It can be written as a sum of positive squares in 4 ways, for example, as 31674384 + 329204736 = 5628^2 + 18144^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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 (360879121) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1869744 + ... + 1869936.

Almost surely, 2^360879120 is an apocalyptic number.

360879120 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 360879120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721932588).

360879120 is an abundant number, since it is smaller than the sum of its proper divisors (1082986056).

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

360879120 is a wasteful number, since it uses less digits than its factorization.

360879120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 360879120 is about 18996.8186810318. The cubic root of 360879120 is about 711.9572524098.

It can be divided in two parts, 3608 and 79120, that added together give a palindrome (82728).

The spelling of 360879120 in words is "three hundred sixty million, eight hundred seventy-nine thousand, one hundred twenty".