87666678 has 48 divisors (see below), whose sum is σ = 214151280. Its totient is φ = 26563680.

The previous prime is 87666647. The next prime is 87666679.

87666678 is nontrivially palindromic in base 10.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87666679) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 175 + ... + 13242.

It is an arithmetic number, because the mean of its divisors is an integer number (4461485).

Almost surely, 2^87666678 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87666678, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107075640).

87666678 is an abundant number, since it is smaller than the sum of its proper divisors (126484602).

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

87666678 is a wasteful number, since it uses less digits than its factorization.

87666678 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13450 (or 13433 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The square root of 87666678 is about 9363.0485420081. The cubic root of 87666678 is about 444.2337155221.

The spelling of 87666678 in words is "eighty-seven million, six hundred sixty-six thousand, six hundred seventy-eight".