8421504 has 128 divisors (see below), whose sum is σ = 27646080. Its totient is φ = 2211840.

The previous prime is 8421493. The next prime is 8421509. The reversal of 8421504 is 4051248.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a d-powerful number, because it can be written as 8⁵ + 4¹¹ + 2 + 1 + 5³ + 0 + 4¹¹ .

8421504 is an undulating number in base 16.

It is not an unprimeable number, because it can be changed into a prime (8421509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34824 + ... + 35064.

It is an arithmetic number, because the mean of its divisors is an integer number (215985).

Almost surely, 2^8421504 is an apocalyptic number.

8421504 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 8421504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13823040).

8421504 is an abundant number, since it is smaller than the sum of its proper divisors (19224576).

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

8421504 is a wasteful number, since it uses less digits than its factorization.

8421504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 8421504 is about 2901.9827704520. The cubic root of 8421504 is about 203.4525885279.

It can be divided in two parts, 842 and 1504, that added together give a triangular number (2346 = T₆₈).

The spelling of 8421504 in words is "eight million, four hundred twenty-one thousand, five hundred four".