87580032 has 64 divisors (see below), whose sum is σ = 235660800. Its totient is φ = 28813824.

The previous prime is 87580019. The next prime is 87580033. The reversal of 87580032 is 23008578.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 87579975 and 87580002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87580033) 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, 28893 + ... + 31779.

It is an arithmetic number, because the mean of its divisors is an integer number (3682200).

Almost surely, 2^87580032 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 87580032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117830400).

87580032 is an abundant number, since it is smaller than the sum of its proper divisors (148080768).

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

87580032 is a wasteful number, since it uses less digits than its factorization.

87580032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2983 (or 2971 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 87580032 is about 9358.4203795299. The cubic root of 87580032 is about 444.0873134024.

The spelling of 87580032 in words is "eighty-seven million, five hundred eighty thousand, thirty-two".