86412144 has 160 divisors (see below), whose sum is σ = 279537664. Its totient is φ = 22394880.

The previous prime is 86412113. The next prime is 86412149. The reversal of 86412144 is 44121468.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86412149) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 318729 + ... + 318999.

Almost surely, 2^86412144 is an apocalyptic number.

86412144 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 86412144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139768832).

86412144 is an abundant number, since it is smaller than the sum of its proper divisors (193125520).

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

86412144 is a wasteful number, since it uses less digits than its factorization.

86412144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 369 counting only the distinct ones).

The product of its digits is 6144, while the sum is 30.

The square root of 86412144 is about 9295.8132511362. The cubic root of 86412144 is about 442.1044913103.

The spelling of 86412144 in words is "eighty-six million, four hundred twelve thousand, one hundred forty-four".