87835248 has 60 divisors (see below), whose sum is σ = 248812200. Its totient is φ = 28921728.

The previous prime is 87835219. The next prime is 87835289. The reversal of 87835248 is 84253878.

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 11 ways as a sum of consecutive naturals, for example, 8278 + ... + 15626.

It is an arithmetic number, because the mean of its divisors is an integer number (4146870).

Almost surely, 2^87835248 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 87835248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124406100).

87835248 is an abundant number, since it is smaller than the sum of its proper divisors (160976952).

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

87835248 is a wasteful number, since it uses less digits than its factorization.

87835248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7446 (or 7437 counting only the distinct ones).

The product of its digits is 430080, while the sum is 45.

The square root of 87835248 is about 9372.0460946370. The cubic root of 87835248 is about 444.5182650343.

The spelling of 87835248 in words is "eighty-seven million, eight hundred thirty-five thousand, two hundred forty-eight".