385680 has 40 divisors (see below), whose sum is σ = 1196352. Its totient is φ = 102784.

The previous prime is 385663. The next prime is 385709. The reversal of 385680 is 86583.

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

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

385680 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, 564 + ... + 1043.

385680 is a Friedman number, since it can be written as 8035*8*6, using all its digits and the basic arithmetic operations.

2³⁸⁵⁶⁸⁰ is an apocalyptic number.

385680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

385680 is an abundant number, since it is smaller than the sum of its proper divisors (810672).

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

385680 is a wasteful number, since it uses less digits than its factorization.

385680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1623 (or 1617 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 385680 is about 621.0314001723. The cubic root of 385680 is about 72.7906682077.

The spelling of 385680 in words is "three hundred eighty-five thousand, six hundred eighty".