87325128 has 80 divisors (see below), whose sum is σ = 266848560. Its totient is φ = 26460000.

The previous prime is 87325097. The next prime is 87325129. The reversal of 87325128 is 82152378.

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 = 87325092 and 87325101.

It is not an unprimeable number, because it can be changed into a prime (87325129) 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 19 ways as a sum of consecutive naturals, for example, 1003 + ... + 13253.

It is an arithmetic number, because the mean of its divisors is an integer number (3335607).

Almost surely, 2^87325128 is an apocalyptic number.

87325128 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 87325128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133424280).

87325128 is an abundant number, since it is smaller than the sum of its proper divisors (179523432).

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

87325128 is a wasteful number, since it uses less digits than its factorization.

87325128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12280 (or 12267 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 87325128 is about 9344.7914904507. The cubic root of 87325128 is about 443.6560521077.

The spelling of 87325128 in words is "eighty-seven million, three hundred twenty-five thousand, one hundred twenty-eight".