86677668 has 144 divisors (see below), whose sum is σ = 285364800. Its totient is φ = 22498560.

The previous prime is 86677663. The next prime is 86677687.

86677668 is nontrivially palindromic in base 10.

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

Its product of digits (4064256) is a multiple of the sum of its prime divisors (1512).

It is not an unprimeable number, because it can be changed into a prime (86677663) 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 47 ways as a sum of consecutive naturals, for example, 57468 + ... + 58956.

It is an arithmetic number, because the mean of its divisors is an integer number (1981700).

Almost surely, 2^86677668 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 86677668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142682400).

86677668 is an abundant number, since it is smaller than the sum of its proper divisors (198687132).

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

86677668 is a wasteful number, since it uses less digits than its factorization.

86677668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1527 (or 1512 counting only the distinct ones).

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

The square root of 86677668 is about 9310.0842101455. The cubic root of 86677668 is about 442.5568556649.

The spelling of 86677668 in words is "eighty-six million, six hundred seventy-seven thousand, six hundred sixty-eight".