427680 has 144 divisors (see below), whose sum is σ = 1651104. Its totient is φ = 103680.

The previous prime is 427621. The next prime is 427681. The reversal of 427680 is 86724.

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 (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427681) by changing a digit.

427680 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 23 ways as a sum of consecutive naturals, for example, 38875 + ... + 38885.

It is an arithmetic number, because the mean of its divisors is an integer number (11466).

2⁴²⁷⁶⁸⁰ is an apocalyptic number.

427680 is a gapful number since it is divisible by the number (40) 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 427680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825552).

427680 is an abundant number, since it is smaller than the sum of its proper divisors (1223424).

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

427680 is a wasteful number, since it uses less digits than its factorization.

427680 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 2688, while the sum is 27.

The square root of 427680 is about 653.9724764851. The cubic root of 427680 is about 75.3424341386.

It can be divided in two parts, 4276 and 80, that added together give a square (4356 = 66²).

The spelling of 427680 in words is "four hundred twenty-seven thousand, six hundred eighty".