86481408 has 160 divisors (see below), whose sum is σ = 255733632. Its totient is φ = 25804800.

The previous prime is 86481401. The next prime is 86481419. The reversal of 86481408 is 80418468.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86481401) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1218013 + ... + 1218083.

Almost surely, 2^86481408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86481408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127866816).

86481408 is an abundant number, since it is smaller than the sum of its proper divisors (169252224).

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

86481408 is a wasteful number, since it uses less digits than its factorization.

86481408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 39.

The square root of 86481408 is about 9299.5380530433. The cubic root of 86481408 is about 442.2225833052. Note that the first 3 decimals are identical.

The spelling of 86481408 in words is "eighty-six million, four hundred eighty-one thousand, four hundred eight".