87971592 has 64 divisors (see below), whose sum is σ = 226437120. Its totient is φ = 28467008.

The previous prime is 87971591. The next prime is 87971633. The reversal of 87971592 is 29517978.

It is not an unprimeable number, because it can be changed into a prime (87971591) 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 15 ways as a sum of consecutive naturals, for example, 188143 + ... + 188609.

It is an arithmetic number, because the mean of its divisors is an integer number (3538080).

Almost surely, 2^87971592 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 87971592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113218560).

87971592 is an abundant number, since it is smaller than the sum of its proper divisors (138465528).

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

87971592 is a wasteful number, since it uses less digits than its factorization.

87971592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690 (or 686 counting only the distinct ones).

The product of its digits is 317520, while the sum is 48.

The square root of 87971592 is about 9379.3172459407. The cubic root of 87971592 is about 444.7481502153.

The spelling of 87971592 in words is "eighty-seven million, nine hundred seventy-one thousand, five hundred ninety-two".