87306128 has 80 divisors (see below), whose sum is σ = 211819776. Its totient is φ = 33937920.

The previous prime is 87306113. The next prime is 87306181. The reversal of 87306128 is 82160378.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88325 + ... + 89307.

Almost surely, 2^87306128 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 87306128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105909888).

87306128 is an abundant number, since it is smaller than the sum of its proper divisors (124513648).

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

87306128 is a wasteful number, since it uses less digits than its factorization.

87306128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1072 (or 1066 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 35.

The square root of 87306128 is about 9343.7748260540. The cubic root of 87306128 is about 443.6238732201.

It can be divided in two parts, 8730612 and 8, that multiplied together give a palindrome (69844896).

The spelling of 87306128 in words is "eighty-seven million, three hundred six thousand, one hundred twenty-eight".