8961504 has 48 divisors (see below), whose sum is σ = 23678928. Its totient is φ = 2967552.

The previous prime is 8961497. The next prime is 8961509. The reversal of 8961504 is 4051698.

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

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8961509) 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, 26424 + ... + 26760.

It is an arithmetic number, because the mean of its divisors is an integer number (493311).

Almost surely, 2^8961504 is an apocalyptic number.

It is an amenable number.

8961504 is an abundant number, since it is smaller than the sum of its proper divisors (14717424).

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

8961504 is a wasteful number, since it uses less digits than its factorization.

8961504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 8961504 is about 2993.5771244449. The cubic root of 8961504 is about 207.7113847202.

The spelling of 8961504 in words is "eight million, nine hundred sixty-one thousand, five hundred four".