361140 has 48 divisors (see below), whose sum is σ = 1091328. Its totient is φ = 88704.

The previous prime is 361111. The next prime is 361159. The reversal of 361140 is 41163.

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

It is a congruent number.

It is an unprimeable number.

361140 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, 549 + ... + 1011.

It is an arithmetic number, because the mean of its divisors is an integer number (22736).

2³⁶¹¹⁴⁰ is an apocalyptic number.

361140 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 361140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545664).

361140 is an abundant number, since it is smaller than the sum of its proper divisors (730188).

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

361140 is a wasteful number, since it uses less digits than its factorization.

361140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 361140 is about 600.9492491051. The cubic root of 361140 is about 71.2128769371.

It can be divided in two parts, 36 and 1140, that added together give a triangular number (1176 = T₄₈).

The spelling of 361140 in words is "three hundred sixty-one thousand, one hundred forty".