87590140 has 96 divisors (see below), whose sum is σ = 210760704. Its totient is φ = 30293760.

The previous prime is 87590123. The next prime is 87590147. The reversal of 87590140 is 4109578.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 87590096 and 87590105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87590147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 444522 + ... + 444718.

It is an arithmetic number, because the mean of its divisors is an integer number (2195424).

Almost surely, 2^87590140 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 87590140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105380352).

87590140 is an abundant number, since it is smaller than the sum of its proper divisors (123170564).

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

87590140 is a wasteful number, since it uses less digits than its factorization.

87590140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 34.

The square root of 87590140 is about 9358.9604123535. The cubic root of 87590140 is about 444.1043974407.

The spelling of 87590140 in words is "eighty-seven million, five hundred ninety thousand, one hundred forty".