8461504 has 56 divisors (see below), whose sum is σ = 17922240. Its totient is φ = 3956736.

The previous prime is 8461489. The next prime is 8461507. The reversal of 8461504 is 4051648.

8461504 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (8461507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 87184 + ... + 87280.

It is an arithmetic number, because the mean of its divisors is an integer number (320040).

Almost surely, 2^8461504 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 8461504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8961120).

8461504 is an abundant number, since it is smaller than the sum of its proper divisors (9460736).

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

8461504 is a wasteful number, since it uses less digits than its factorization.

8461504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 8461504 is about 2908.8664458858. The cubic root of 8461504 is about 203.7741958795.

It can be divided in two parts, 846 and 1504, that multiplied together give a square (1272384 = 1128²).

The spelling of 8461504 in words is "eight million, four hundred sixty-one thousand, five hundred four".