360025080 has 128 divisors (see below), whose sum is σ = 1108166400. Its totient is φ = 93542400.

The previous prime is 360025079. The next prime is 360025097. The reversal of 360025080 is 80520063.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 360025080.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1493760 + ... + 1494000.

It is an arithmetic number, because the mean of its divisors is an integer number (8657550).

Almost surely, 2^360025080 is an apocalyptic number.

360025080 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 360025080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554083200).

360025080 is an abundant number, since it is smaller than the sum of its proper divisors (748141320).

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

360025080 is a wasteful number, since it uses less digits than its factorization.

360025080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 360025080 is about 18974.3268655307. The cubic root of 360025080 is about 711.3951803077.

It can be divided in two parts, 3600 and 25080, that added together give a triangular number (28680 = T₂₃₉).

The spelling of 360025080 in words is "three hundred sixty million, twenty-five thousand, eighty".