88686144 has 112 divisors (see below), whose sum is σ = 276148800. Its totient is φ = 27813888.

The previous prime is 88686121. The next prime is 88686163. The reversal of 88686144 is 44168688.

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

It is a self number, because there is not a number n which added to its sum of digits gives 88686144.

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 15 ways as a sum of consecutive naturals, for example, 27867 + ... + 30885.

Almost surely, 2^88686144 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 88686144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138074400).

88686144 is an abundant number, since it is smaller than the sum of its proper divisors (187462656).

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

88686144 is a wasteful number, since it uses less digits than its factorization.

88686144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3057 (or 3041 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The square root of 88686144 is about 9417.3321062815. The cubic root of 88686144 is about 445.9490648127.

The spelling of 88686144 in words is "eighty-eight million, six hundred eighty-six thousand, one hundred forty-four".