86876664 has 128 divisors (see below), whose sum is σ = 276825600. Its totient is φ = 22118400.

The previous prime is 86876659. The next prime is 86876677. The reversal of 86876664 is 46667868.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53464 + ... + 55064.

It is an arithmetic number, because the mean of its divisors is an integer number (2162700).

Almost surely, 2^86876664 is an apocalyptic number.

86876664 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86876664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138412800).

86876664 is an abundant number, since it is smaller than the sum of its proper divisors (189948936).

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

86876664 is a wasteful number, since it uses less digits than its factorization.

86876664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1653 (or 1649 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 51.

The square root of 86876664 is about 9320.7652046385. The cubic root of 86876664 is about 442.8952732245.

It can be divided in two parts, 8687 and 6664, that added together give a palindrome (15351).

The spelling of 86876664 in words is "eighty-six million, eight hundred seventy-six thousand, six hundred sixty-four".