87823296 has 168 divisors, whose sum is σ = 279586944. Its totient is φ = 26135040.

The previous prime is 87823283. The next prime is 87823319. The reversal of 87823296 is 69232878.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 525805 + ... + 525971.

It is an arithmetic number, because the mean of its divisors is an integer number (1664208).

Almost surely, 2^87823296 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 87823296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139793472).

87823296 is an abundant number, since it is smaller than the sum of its proper divisors (191763648).

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

87823296 is a wasteful number, since it uses less digits than its factorization.

87823296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 266 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 87823296 is about 9371.4084320341. The cubic root of 87823296 is about 444.4981018180.

The spelling of 87823296 in words is "eighty-seven million, eight hundred twenty-three thousand, two hundred ninety-six".