86427180 has 216 divisors, whose sum is σ = 313709760. Its totient is φ = 19192320.

The previous prime is 86427151. The next prime is 86427193. The reversal of 86427180 is 8172468.

86427180 is a `hidden beast` number, since 8 + 642 + 7 + 1 + 8 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 361501 + ... + 361739.

It is an arithmetic number, because the mean of its divisors is an integer number (1452360).

Almost surely, 2^86427180 is an apocalyptic number.

86427180 is the 5880-th heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86427180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156854880).

86427180 is an abundant number, since it is smaller than the sum of its proper divisors (227282580).

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

86427180 is a wasteful number, since it uses less digits than its factorization.

86427180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 86427180 is about 9296.6219671448. The cubic root of 86427180 is about 442.1301323730.

The spelling of 86427180 in words is "eighty-six million, four hundred twenty-seven thousand, one hundred eighty".