360840 has 64 divisors (see below), whose sum is σ = 1128960. Its totient is φ = 92160.

The previous prime is 360827. The next prime is 360851. The reversal of 360840 is 48063.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 360840.

It is an unprimeable number.

360840 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3672 + ... + 3768.

It is an arithmetic number, because the mean of its divisors is an integer number (17640).

2³⁶⁰⁸⁴⁰ is an apocalyptic number.

360840 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 360840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564480).

360840 is an abundant number, since it is smaller than the sum of its proper divisors (768120).

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

360840 is a wasteful number, since it uses less digits than its factorization.

360840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 360840 is about 600.6995921424. The cubic root of 360840 is about 71.1931525629.

The spelling of 360840 in words is "three hundred sixty thousand, eight hundred forty".