87075968 has 64 divisors (see below), whose sum is σ = 199838400. Its totient is φ = 37020672.

The previous prime is 87075959. The next prime is 87075991. The reversal of 87075968 is 86957078.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 140363 + ... + 140981.

It is an arithmetic number, because the mean of its divisors is an integer number (3122475).

Almost surely, 2^87075968 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 87075968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99919200).

87075968 is an abundant number, since it is smaller than the sum of its proper divisors (112762432).

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

87075968 is a wasteful number, since it uses less digits than its factorization.

87075968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 50.

The square root of 87075968 is about 9331.4504767480. The cubic root of 87075968 is about 443.2336969952.

The spelling of 87075968 in words is "eighty-seven million, seventy-five thousand, nine hundred sixty-eight".