86178720 has 192 divisors, whose sum is σ = 289578240. Its totient is φ = 21504000.

The previous prime is 86178707. The next prime is 86178721. The reversal of 86178720 is 2787168.

It is not an unprimeable number, because it can be changed into a prime (86178721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 570645 + ... + 570795.

It is an arithmetic number, because the mean of its divisors is an integer number (1508220).

Almost surely, 2^86178720 is an apocalyptic number.

86178720 is a gapful number since it is divisible by the number (80) 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 86178720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144789120).

86178720 is an abundant number, since it is smaller than the sum of its proper divisors (203399520).

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

86178720 is a wasteful number, since it uses less digits than its factorization.

86178720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 39.

The square root of 86178720 is about 9283.2494310990. The cubic root of 86178720 is about 441.7060486224.

The spelling of 86178720 in words is "eighty-six million, one hundred seventy-eight thousand, seven hundred twenty".