86861376 has 224 divisors, whose sum is σ = 300410880. Its totient is φ = 24095232.

The previous prime is 86861353. The next prime is 86861431. The reversal of 86861376 is 67316868.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×86861376² = 15089797281226752, which contains 22 as substring.

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

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 520045 + ... + 520211.

It is an arithmetic number, because the mean of its divisors is an integer number (1341120).

Almost surely, 2^86861376 is an apocalyptic number.

86861376 is a gapful number since it is divisible by the number (86) 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 86861376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150205440).

86861376 is an abundant number, since it is smaller than the sum of its proper divisors (213549504).

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

86861376 is a wasteful number, since it uses less digits than its factorization.

86861376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 222 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 86861376 is about 9319.9450642158. The cubic root of 86861376 is about 442.8692924074.

The spelling of 86861376 in words is "eighty-six million, eight hundred sixty-one thousand, three hundred seventy-six".