86181984 has 216 divisors, whose sum is σ = 295783488. Its totient is φ = 23708160.

The previous prime is 86181937. The next prime is 86182003. The reversal of 86181984 is 48918168.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 437374 + ... + 437570.

It is an arithmetic number, because the mean of its divisors is an integer number (1369368).

Almost surely, 2^86181984 is an apocalyptic number.

86181984 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 86181984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147891744).

86181984 is an abundant number, since it is smaller than the sum of its proper divisors (209601504).

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

86181984 is a wasteful number, since it uses less digits than its factorization.

86181984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 240 counting only the distinct ones).

The product of its digits is 110592, while the sum is 45.

The square root of 86181984 is about 9283.4252299461. The cubic root of 86181984 is about 441.7116250583.

The spelling of 86181984 in words is "eighty-six million, one hundred eighty-one thousand, nine hundred eighty-four".