380160 has 144 divisors (see below), whose sum is σ = 1471680. Its totient is φ = 92160.

The previous prime is 380147. The next prime is 380179. The reversal of 380160 is 61083.

380160 = T₈₉ + T₉₀ + ... + T₁₄₃.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

380160 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34555 + ... + 34565.

It is an arithmetic number, because the mean of its divisors is an integer number (10220).

2³⁸⁰¹⁶⁰ is an apocalyptic number.

380160 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 380160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (735840).

380160 is an abundant number, since it is smaller than the sum of its proper divisors (1091520).

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

380160 is a wasteful number, since it uses less digits than its factorization.

380160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 380160 is about 616.5711637759. The cubic root of 380160 is about 72.4417288416.

The spelling of 380160 in words is "three hundred eighty thousand, one hundred sixty".