427968 has 42 divisors (see below), whose sum is σ = 1228344. Its totient is φ = 142464.

The previous prime is 427967. The next prime is 427969. The reversal of 427968 is 869724.

It is an interprime number because it is at equal distance from previous prime (427967) and next prime (427969).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 4³ + 2¹⁷ + 9² + 7⁵ + 6⁷ + 8 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427967) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 205 + ... + 947.

2⁴²⁷⁹⁶⁸ is an apocalyptic number.

427968 is a gapful number since it is divisible by the number (48) 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 427968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614172).

427968 is an abundant number, since it is smaller than the sum of its proper divisors (800376).

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

427968 is a wasteful number, since it uses less digits than its factorization.

427968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 761 (or 748 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 427968 is about 654.1926321811. The cubic root of 427968 is about 75.3593422259.

It can be divided in two parts, 4 and 27968, that added together give a palindrome (27972).

The spelling of 427968 in words is "four hundred twenty-seven thousand, nine hundred sixty-eight".