86578470 has 192 divisors, whose sum is σ = 264176640. Its totient is φ = 20217600.

The previous prime is 86578469. The next prime is 86578489. The reversal of 86578470 is 7487568.

86578470 is a `hidden beast` number, since 8 + 6 + 578 + 4 + 70 = 666.

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 Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1095891 + ... + 1095969.

It is an arithmetic number, because the mean of its divisors is an integer number (1375920).

Almost surely, 2^86578470 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86578470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132088320).

86578470 is an abundant number, since it is smaller than the sum of its proper divisors (177598170).

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

86578470 is a wasteful number, since it uses less digits than its factorization.

86578470 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 86578470 is about 9304.7552358995. The cubic root of 86578470 is about 442.3879635923.

The spelling of 86578470 in words is "eighty-six million, five hundred seventy-eight thousand, four hundred seventy".