8427384 has 96 divisors (see below), whose sum is σ = 27256320. Its totient is φ = 2299968.

The previous prime is 8427337. The next prime is 8427401. The reversal of 8427384 is 4837248.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11229 + ... + 11955.

It is an arithmetic number, because the mean of its divisors is an integer number (283920).

Almost surely, 2^8427384 is an apocalyptic number.

8427384 is a gapful number since it is divisible by the number (84) 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 8427384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13628160).

8427384 is an abundant number, since it is smaller than the sum of its proper divisors (18828936).

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

8427384 is a wasteful number, since it uses less digits than its factorization.

8427384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 769 (or 762 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The square root of 8427384 is about 2902.9956941063. The cubic root of 8427384 is about 203.4999285638.

The spelling of 8427384 in words is "eight million, four hundred twenty-seven thousand, three hundred eighty-four".