120087360 has 280 divisors, whose sum is σ = 441463176. Its totient is φ = 30965760.

The previous prime is 120087349. The next prime is 120087367. The reversal of 120087360 is 63780021.

It can be written as a sum of positive squares in 4 ways, for example, as 9585216 + 110502144 = 3096^2 + 10512^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120087367) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1062664 + ... + 1062776.

Almost surely, 2^120087360 is an apocalyptic number.

120087360 is a gapful number since it is divisible by the number (10) 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 120087360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220731588).

120087360 is an abundant number, since it is smaller than the sum of its proper divisors (321375816).

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

120087360 is a wasteful number, since it uses less digits than its factorization.

120087360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 120087360 is about 10958.4378448755. The cubic root of 120087360 is about 493.3620793249.

The spelling of 120087360 in words is "one hundred twenty million, eighty-seven thousand, three hundred sixty".