387120 has 40 divisors (see below), whose sum is σ = 1200816. Its totient is φ = 103168.

The previous prime is 387109. The next prime is 387137. The reversal of 387120 is 21783.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 387120.

It is an unprimeable number.

387120 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 7 ways as a sum of consecutive naturals, for example, 567 + ... + 1046.

2³⁸⁷¹²⁰ is an apocalyptic number.

387120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

387120 is an abundant number, since it is smaller than the sum of its proper divisors (813696).

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

387120 is a wasteful number, since it uses less digits than its factorization.

387120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1629 (or 1623 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 387120 is about 622.1896816888. The cubic root of 387120 is about 72.8811476896.

The spelling of 387120 in words is "three hundred eighty-seven thousand, one hundred twenty".