87611148 has 72 divisors (see below), whose sum is σ = 227026800. Its totient is φ = 28480896.

The previous prime is 87611141. The next prime is 87611159. The reversal of 87611148 is 84111678.

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 (87611141) 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, 325558 + ... + 325826.

It is an arithmetic number, because the mean of its divisors is an integer number (3153150).

Almost surely, 2^87611148 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 87611148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113513400).

87611148 is an abundant number, since it is smaller than the sum of its proper divisors (139415652).

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

87611148 is a wasteful number, since it uses less digits than its factorization.

87611148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 466 counting only the distinct ones).

The product of its digits is 10752, while the sum is 36.

The square root of 87611148 is about 9360.0826919424. The cubic root of 87611148 is about 444.1398999124.

The spelling of 87611148 in words is "eighty-seven million, six hundred eleven thousand, one hundred forty-eight".