87677128 has 64 divisors (see below), whose sum is σ = 206064000. Its totient is φ = 33976320.

The previous prime is 87677111. The next prime is 87677131. The reversal of 87677128 is 82177678.

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 15 ways as a sum of consecutive naturals, for example, 195048 + ... + 195496.

It is an arithmetic number, because the mean of its divisors is an integer number (3219750).

Almost surely, 2^87677128 is an apocalyptic number.

87677128 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87677128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103032000).

87677128 is an abundant number, since it is smaller than the sum of its proper divisors (118386872).

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

87677128 is a wasteful number, since it uses less digits than its factorization.

87677128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790 (or 786 counting only the distinct ones).

The product of its digits is 263424, while the sum is 46.

The square root of 87677128 is about 9363.6065701203. The cubic root of 87677128 is about 444.2513659300.

The spelling of 87677128 in words is "eighty-seven million, six hundred seventy-seven thousand, one hundred twenty-eight".