360240 has 80 divisors (see below), whose sum is σ = 1190400. Its totient is φ = 89856.

The previous prime is 360233. The next prime is 360257. The reversal of 360240 is 42063.

360240 = T₁₉₁ + T₁₉₂ + ... + T₂₀₈.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4521 + ... + 4599.

It is an arithmetic number, because the mean of its divisors is an integer number (14880).

2³⁶⁰²⁴⁰ is an apocalyptic number.

360240 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 360240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595200).

360240 is an abundant number, since it is smaller than the sum of its proper divisors (830160).

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

360240 is a wasteful number, since it uses less digits than its factorization.

360240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 360240 is about 600.1999666778. The cubic root of 360240 is about 71.1536709928.

The spelling of 360240 in words is "three hundred sixty thousand, two hundred forty".