360825120 has 288 divisors, whose sum is σ = 1302013440. Its totient is φ = 90869760.

The previous prime is 360825109. The next prime is 360825131. The reversal of 360825120 is 21528063.

360825120 is a `hidden beast` number, since 3 + 608 + 2 + 51 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (360825109) and next prime (360825131).

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2633692 + ... + 2633828.

It is an arithmetic number, because the mean of its divisors is an integer number (4520880).

Almost surely, 2^360825120 is an apocalyptic number.

360825120 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 360825120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651006720).

360825120 is an abundant number, since it is smaller than the sum of its proper divisors (941188320).

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

360825120 is a wasteful number, since it uses less digits than its factorization.

360825120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 360825120 is about 18995.3973372499. The cubic root of 360825120 is about 711.9217394940.

The spelling of 360825120 in words is "three hundred sixty million, eight hundred twenty-five thousand, one hundred twenty".