86631144 has 64 divisors (see below), whose sum is σ = 221538240. Its totient is φ = 28224000.

The previous prime is 86631131. The next prime is 86631151. The reversal of 86631144 is 44113668.

It is a super-2 number, since 2×86631144² = 15009910221497472, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 345019 + ... + 345269.

It is an arithmetic number, because the mean of its divisors is an integer number (3461535).

Almost surely, 2^86631144 is an apocalyptic number.

It is an amenable number.

86631144 is an abundant number, since it is smaller than the sum of its proper divisors (134907096).

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

86631144 is a wasteful number, since it uses less digits than its factorization.

86631144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 526 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 86631144 is about 9307.5852937268. The cubic root of 86631144 is about 442.4776611022.

The spelling of 86631144 in words is "eighty-six million, six hundred thirty-one thousand, one hundred forty-four".