87503904 has 72 divisors (see below), whose sum is σ = 257444460. Its totient is φ = 28159488.

The previous prime is 87503887. The next prime is 87503909. The reversal of 87503904 is 40930578.

It can be written as a sum of positive squares in 2 ways, for example, as 85599504 + 1904400 = 9252^2 + 1380^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (87503909) 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 11 ways as a sum of consecutive naturals, for example, 3114 + ... + 13590.

Almost surely, 2^87503904 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 87503904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128722230).

87503904 is an abundant number, since it is smaller than the sum of its proper divisors (169940556).

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

87503904 is a wasteful number, since it uses less digits than its factorization.

87503904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10522 (or 10511 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 87503904 is about 9354.3521421849. The cubic root of 87503904 is about 443.9586033964.

The spelling of 87503904 in words is "eighty-seven million, five hundred three thousand, nine hundred four".