86178816 has 110 divisors (see below), whose sum is σ = 257594480. Its totient is φ = 28698624.

The previous prime is 86178811. The next prime is 86178821. The reversal of 86178816 is 61887168.

It is an interprime number because it is at equal distance from previous prime (86178811) and next prime (86178821).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86178811) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 82425 + ... + 83463.

It is an arithmetic number, because the mean of its divisors is an integer number (2341768).

Almost surely, 2^86178816 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 86178816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128797240).

86178816 is an abundant number, since it is smaller than the sum of its proper divisors (171415664).

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

86178816 is a wasteful number, since it uses less digits than its factorization.

86178816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1071 (or 1044 counting only the distinct ones).

The product of its digits is 129024, while the sum is 45.

The square root of 86178816 is about 9283.2546017008. The cubic root of 86178816 is about 441.7062126372.

The spelling of 86178816 in words is "eighty-six million, one hundred seventy-eight thousand, eight hundred sixteen".