87029248 has 80 divisors (see below), whose sum is σ = 183648960. Its totient is φ = 41158656.

The previous prime is 87029237. The next prime is 87029269. The reversal of 87029248 is 84292078.

It is a self number, because there is not a number n which added to its sum of digits gives 87029248.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1298911 + ... + 1298977.

It is an arithmetic number, because the mean of its divisors is an integer number (2295612).

Almost surely, 2^87029248 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 87029248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91824480).

87029248 is an abundant number, since it is smaller than the sum of its proper divisors (96619712).

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

87029248 is an equidigital number, since it uses as much as digits as its factorization.

87029248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 40.

The square root of 87029248 is about 9328.9467787098. The cubic root of 87029248 is about 443.1544115029.

The spelling of 87029248 in words is "eighty-seven million, twenty-nine thousand, two hundred forty-eight".