387180 has 60 divisors (see below), whose sum is σ = 1219680. Its totient is φ = 102816.

The previous prime is 387173. The next prime is 387187. The reversal of 387180 is 81783.

It is an interprime number because it is at equal distance from previous prime (387173) and next prime (387187).

It is a tau number, because it is divible by the number of its divisors (60).

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 (387187) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1501 + ... + 1739.

It is an arithmetic number, because the mean of its divisors is an integer number (20328).

2³⁸⁷¹⁸⁰ is an apocalyptic number.

387180 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 387180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609840).

387180 is an abundant number, since it is smaller than the sum of its proper divisors (832500).

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

387180 is a wasteful number, since it uses less digits than its factorization.

387180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 387180 is about 622.2378966280. The cubic root of 387180 is about 72.8849127951.

The spelling of 387180 in words is "three hundred eighty-seven thousand, one hundred eighty".