8242464 has 48 divisors (see below), whose sum is σ = 22583232. Its totient is φ = 2627328.

The previous prime is 8242459. The next prime is 8242469. The reversal of 8242464 is 4642428.

It is an interprime number because it is at equal distance from previous prime (8242459) and next prime (8242469).

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a d-powerful number, because it can be written as 8⁷ + 2⁵ + 4⁵ + 2¹³ + 4⁹ + 6⁸ + 4¹¹ .

It is not an unprimeable number, because it can be changed into a prime (8242469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 342 + ... + 4074.

It is an arithmetic number, because the mean of its divisors is an integer number (470484).

Almost surely, 2^8242464 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 8242464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11291616).

8242464 is an abundant number, since it is smaller than the sum of its proper divisors (14340768).

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

8242464 is a wasteful number, since it uses less digits than its factorization.

8242464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3769 (or 3761 counting only the distinct ones).

The product of its digits is 12288, while the sum is 30.

The square root of 8242464 is about 2870.9691743382. The cubic root of 8242464 is about 202.0004574705. Note that the first 3 decimals are identical.

The spelling of 8242464 in words is "eight million, two hundred forty-two thousand, four hundred sixty-four".