86868408 has 64 divisors (see below), whose sum is σ = 241989120. Its totient is φ = 25760000.

The previous prime is 86868407. The next prime is 86868421. The reversal of 86868408 is 80486868.

It is a super-2 number, since 2×86868408² = 15092240616908928, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86868407) 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, 8908 + ... + 15908.

It is an arithmetic number, because the mean of its divisors is an integer number (3781080).

Almost surely, 2^86868408 is an apocalyptic number.

86868408 is a gapful number since it is divisible by the number (88) 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 86868408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120994560).

86868408 is an abundant number, since it is smaller than the sum of its proper divisors (155120712).

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

86868408 is a wasteful number, since it uses less digits than its factorization.

86868408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7068 (or 7064 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 48.

The square root of 86868408 is about 9320.3223120233. The cubic root of 86868408 is about 442.8812431461.

The spelling of 86868408 in words is "eighty-six million, eight hundred sixty-eight thousand, four hundred eight".