380688 has 80 divisors (see below), whose sum is σ = 1238016. Its totient is φ = 97920.

The previous prime is 380657. The next prime is 380707. The reversal of 380688 is 886083.

It is a Cunningham number, because it is equal to 617²-1.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

380688 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, 3645 + ... + 3747.

2³⁸⁰⁶⁸⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 380688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619008).

380688 is an abundant number, since it is smaller than the sum of its proper divisors (857328).

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

380688 is a wasteful number, since it uses less digits than its factorization.

380688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 380688 is about 616.9991896267. Note that the first 3 decimals coincide. The cubic root of 380688 is about 72.4752511642.

It can be divided in two parts, 3 and 80688, that multiplied together give a square (242064 = 492²).

The spelling of 380688 in words is "three hundred eighty thousand, six hundred eighty-eight".