87590844 has 72 divisors (see below), whose sum is σ = 242594352. Its totient is φ = 26426880.

The previous prime is 87590827. The next prime is 87590849. The reversal of 87590844 is 44809578.

It is a self number, because there is not a number n which added to its sum of digits gives 87590844.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87590849) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 147412 + ... + 148004.

It is an arithmetic number, because the mean of its divisors is an integer number (3369366).

Almost surely, 2^87590844 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 87590844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121297176).

87590844 is an abundant number, since it is smaller than the sum of its proper divisors (155003508).

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

87590844 is a wasteful number, since it uses less digits than its factorization.

87590844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 987 (or 982 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 87590844 is about 9358.9980232929. The cubic root of 87590844 is about 444.1055872575.

It can be divided in two parts, 875 and 90844, that added together give a palindrome (91719).

The spelling of 87590844 in words is "eighty-seven million, five hundred ninety thousand, eight hundred forty-four".