8248464 has 120 divisors (see below), whose sum is σ = 27081600. Its totient is φ = 2342592.

The previous prime is 8248459. The next prime is 8248483. The reversal of 8248464 is 4648428.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49309 + ... + 49475.

It is an arithmetic number, because the mean of its divisors is an integer number (225680).

Almost surely, 2^8248464 is an apocalyptic number.

8248464 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 8248464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13540800).

8248464 is an abundant number, since it is smaller than the sum of its proper divisors (18833136).

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

8248464 is a wasteful number, since it uses less digits than its factorization.

8248464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 179 counting only the distinct ones).

The product of its digits is 49152, while the sum is 36.

The square root of 8248464 is about 2872.0139275428. The cubic root of 8248464 is about 202.0494601625.

Subtracting from 8248464 its sum of digits (36), we obtain a palindrome (8248428).

The spelling of 8248464 in words is "eight million, two hundred forty-eight thousand, four hundred sixty-four".