88144 has 20 divisors (see below), whose sum is σ = 195424. Its totient is φ = 37728.

The previous prime is 88129. The next prime is 88169. The reversal of 88144 is 44188.

88144 = T₃₅ + T₃₆ + ... + T₈₂.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 282 + ... + 505.

2⁸⁸¹⁴⁴ is an apocalyptic number.

It is an amenable number.

88144 is an abundant number, since it is smaller than the sum of its proper divisors (107280).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97712).

88144 is a wasteful number, since it uses less digits than its factorization.

88144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 802 (or 796 counting only the distinct ones).

The product of its digits is 1024, while the sum is 25.

The square root of 88144 is about 296.8905522242. The cubic root of 88144 is about 44.5038501908.

Subtracting from 88144 its reverse (44188), we obtain a triangular number (43956 = T₂₉₆).

It can be divided in two parts, 88 and 144, that added together give a palindrome (232).

The spelling of 88144 in words is "eighty-eight thousand, one hundred forty-four".