87576768 has 112 divisors (see below), whose sum is σ = 262128000. Its totient is φ = 28664064.

The previous prime is 87576761. The next prime is 87576773. The reversal of 87576768 is 86767578.

87576768 is a `hidden beast` number, since 8 + 7 + 576 + 7 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (87576761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101523 + ... + 102381.

Almost surely, 2^87576768 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 87576768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131064000).

87576768 is an abundant number, since it is smaller than the sum of its proper divisors (174551232).

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

87576768 is a wasteful number, since it uses less digits than its factorization.

87576768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 939 (or 923 counting only the distinct ones).

The product of its digits is 3951360, while the sum is 54.

The square root of 87576768 is about 9358.2459895004. The cubic root of 87576768 is about 444.0817964713.

The spelling of 87576768 in words is "eighty-seven million, five hundred seventy-six thousand, seven hundred sixty-eight".