87118128 has 120 divisors (see below), whose sum is σ = 254702448. Its totient is φ = 27772416.

The previous prime is 87118079. The next prime is 87118133. The reversal of 87118128 is 82181178.

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

It is a junction number, because it is equal to n+sod(n) for n = 87118092 and 87118101.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 442126 + ... + 442322.

Almost surely, 2^87118128 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 87118128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127351224).

87118128 is an abundant number, since it is smaller than the sum of its proper divisors (167584320).

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

87118128 is a wasteful number, since it uses less digits than its factorization.

87118128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 322 counting only the distinct ones).

The product of its digits is 7168, while the sum is 36.

The square root of 87118128 is about 9333.7092305257. The cubic root of 87118128 is about 443.3052196668.

The spelling of 87118128 in words is "eighty-seven million, one hundred eighteen thousand, one hundred twenty-eight".