87822592 has 72 divisors (see below), whose sum is σ = 206035200. Its totient is φ = 36833280.

The previous prime is 87822587. The next prime is 87822599. The reversal of 87822592 is 29522878.

It is not an unprimeable number, because it can be changed into a prime (87822599) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35409 + ... + 37807.

It is an arithmetic number, because the mean of its divisors is an integer number (2861600).

Almost surely, 2^87822592 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 87822592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103017600).

87822592 is an abundant number, since it is smaller than the sum of its proper divisors (118212608).

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

87822592 is a wasteful number, since it uses less digits than its factorization.

87822592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2439 (or 2425 counting only the distinct ones).

The product of its digits is 161280, while the sum is 43.

The square root of 87822592 is about 9371.3708709025. The cubic root of 87822592 is about 444.4969141017.

The spelling of 87822592 in words is "eighty-seven million, eight hundred twenty-two thousand, five hundred ninety-two".