8424312 has 96 divisors (see below), whose sum is σ = 23892480. Its totient is φ = 2471040.

The previous prime is 8424307. The next prime is 8424319. The reversal of 8424312 is 2134248.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8424319) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 125703 + ... + 125769.

It is an arithmetic number, because the mean of its divisors is an integer number (248880).

Almost surely, 2^8424312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8424312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11946240).

8424312 is an abundant number, since it is smaller than the sum of its proper divisors (15468168).

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

8424312 is a wasteful number, since it uses less digits than its factorization.

8424312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 116 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 8424312 is about 2902.4665372748. The cubic root of 8424312 is about 203.4751985583.

Subtracting from 8424312 its reverse (2134248), we obtain a square (6290064 = 2508²).

It can be divided in two parts, 84243 and 12, that added together give a triangular number (84255 = T₄₁₀).

The spelling of 8424312 in words is "eight million, four hundred twenty-four thousand, three hundred twelve".