87340128 has 96 divisors (see below), whose sum is σ = 239629824. Its totient is φ = 27827712.

The previous prime is 87340081. The next prime is 87340129. The reversal of 87340128 is 82104378.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×87340128³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87340129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 237801 + ... + 238167.

It is an arithmetic number, because the mean of its divisors is an integer number (2496144).

Almost surely, 2^87340128 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 87340128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119814912).

87340128 is an abundant number, since it is smaller than the sum of its proper divisors (152289696).

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

87340128 is a wasteful number, since it uses less digits than its factorization.

87340128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 87340128 is about 9345.5940421142. The cubic root of 87340128 is about 443.6814531956.

The spelling of 87340128 in words is "eighty-seven million, three hundred forty thousand, one hundred twenty-eight".