86534784 has 256 divisors, whose sum is σ = 301920000. Its totient is φ = 24385536.

The previous prime is 86534779. The next prime is 86534803. The reversal of 86534784 is 48743568.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1185372 + ... + 1185444.

It is an arithmetic number, because the mean of its divisors is an integer number (1179375).

Almost surely, 2^86534784 is an apocalyptic number.

86534784 is a gapful number since it is divisible by the number (84) 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 86534784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150960000).

86534784 is an abundant number, since it is smaller than the sum of its proper divisors (215385216).

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

86534784 is an equidigital number, since it uses as much as digits as its factorization.

86534784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 85 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 86534784 is about 9302.4074303376. The cubic root of 86534784 is about 442.3135439664.

The spelling of 86534784 in words is "eighty-six million, five hundred thirty-four thousand, seven hundred eighty-four".