380640 has 96 divisors (see below), whose sum is σ = 1312416. Its totient is φ = 92160.

The previous prime is 380629. The next prime is 380641. The reversal of 380640 is 46083.

It is a tau number, because it is divible by the number of its divisors (96).

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (380641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6210 + ... + 6270.

It is an arithmetic number, because the mean of its divisors is an integer number (13671).

2³⁸⁰⁶⁴⁰ is an apocalyptic number.

380640 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 380640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656208).

380640 is an abundant number, since it is smaller than the sum of its proper divisors (931776).

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

380640 is a wasteful number, since it uses less digits than its factorization.

380640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 380640 is about 616.9602904564. The cubic root of 380640 is about 72.4722049616.

The spelling of 380640 in words is "three hundred eighty thousand, six hundred forty".