87075468 has 36 divisors (see below), whose sum is σ = 220638600. Its totient is φ = 28955136.

The previous prime is 87075463. The next prime is 87075481. The reversal of 87075468 is 86457078.

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (87075463) 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 11 ways as a sum of consecutive naturals, for example, 13471 + ... + 18857.

It is an arithmetic number, because the mean of its divisors is an integer number (6128850).

Almost surely, 2^87075468 is an apocalyptic number.

It is an amenable number.

87075468 is an abundant number, since it is smaller than the sum of its proper divisors (133563132).

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

87075468 is a wasteful number, since it uses less digits than its factorization.

87075468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5846 (or 5841 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 87075468 is about 9331.4236855905. The cubic root of 87075468 is about 443.2328486277.

The spelling of 87075468 in words is "eighty-seven million, seventy-five thousand, four hundred sixty-eight".