86184960 has 176 divisors, whose sum is σ = 286121472. Its totient is φ = 22118400.

The previous prime is 86184953. The next prime is 86184977. The reversal of 86184960 is 6948168.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 476070 + ... + 476250.

Almost surely, 2^86184960 is an apocalyptic number.

86184960 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 86184960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143060736).

86184960 is an abundant number, since it is smaller than the sum of its proper divisors (199936512).

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

86184960 is a wasteful number, since it uses less digits than its factorization.

86184960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 86184960 is about 9283.5855142289. The cubic root of 86184960 is about 441.7167093331.

It can be divided in two parts, 861 and 84960, that multiplied together give a triangular number (73150560 = T₁₂₀₉₅).

The spelling of 86184960 in words is "eighty-six million, one hundred eighty-four thousand, nine hundred sixty".