87148260 has 72 divisors (see below), whose sum is σ = 268717176. Its totient is φ = 22855680.

The previous prime is 87148253. The next prime is 87148261. The reversal of 87148260 is 6284178.

It can be written as a sum of positive squares in 4 ways, for example, as 11249316 + 75898944 = 3354^2 + 8712^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (87148261) 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 23 ways as a sum of consecutive naturals, for example, 7012 + ... + 14948.

It is an arithmetic number, because the mean of its divisors is an integer number (3732183).

Almost surely, 2^87148260 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 87148260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134358588).

87148260 is an abundant number, since it is smaller than the sum of its proper divisors (181568916).

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

87148260 is a wasteful number, since it uses less digits than its factorization.

87148260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8013 (or 8008 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 87148260 is about 9335.3232402526. The cubic root of 87148260 is about 443.3563232027.

The spelling of 87148260 in words is "eighty-seven million, one hundred forty-eight thousand, two hundred sixty".