86615144 has 96 divisors (see below), whose sum is σ = 210535200. Its totient is φ = 33022080.

The previous prime is 86615131. The next prime is 86615161. The reversal of 86615144 is 44151668.

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 23 ways as a sum of consecutive naturals, for example, 228347 + ... + 228725.

It is an arithmetic number, because the mean of its divisors is an integer number (2193075).

Almost surely, 2^86615144 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 86615144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105267600).

86615144 is an abundant number, since it is smaller than the sum of its proper divisors (123920056).

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

86615144 is a wasteful number, since it uses less digits than its factorization.

86615144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 452 counting only the distinct ones).

The product of its digits is 23040, while the sum is 35.

The square root of 86615144 is about 9306.7257400226. The cubic root of 86615144 is about 442.4504188652.

The spelling of 86615144 in words is "eighty-six million, six hundred fifteen thousand, one hundred forty-four".