86878176 has 288 divisors, whose sum is σ = 306125568. Its totient is φ = 21288960.

The previous prime is 86878157. The next prime is 86878193. The reversal of 86878176 is 67187868.

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

It is a nialpdrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1190076 + ... + 1190148.

It is an arithmetic number, because the mean of its divisors is an integer number (1062936).

Almost surely, 2^86878176 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 86878176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153062784).

86878176 is an abundant number, since it is smaller than the sum of its proper divisors (219247392).

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

86878176 is a wasteful number, since it uses less digits than its factorization.

86878176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 119 counting only the distinct ones).

The product of its digits is 903168, while the sum is 51.

The square root of 86878176 is about 9320.8463135061. The cubic root of 86878176 is about 442.8978425902.

The spelling of 86878176 in words is "eighty-six million, eight hundred seventy-eight thousand, one hundred seventy-six".