88120 has 16 divisors (see below), whose sum is σ = 198360. Its totient is φ = 35232.

The previous prime is 88117. The next prime is 88129. The reversal of 88120 is 2188.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1062 + ... + 1141.

2⁸⁸¹²⁰ is an apocalyptic number.

It is an amenable number.

88120 is an abundant number, since it is smaller than the sum of its proper divisors (110240).

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 (99180).

88120 is a wasteful number, since it uses less digits than its factorization.

88120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2214 (or 2210 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

The square root of 88120 is about 296.8501305373. The cubic root of 88120 is about 44.4998106292.

It can be divided in two parts, 8 and 8120, that added together give a triangular number (8128 = T₁₂₇).

The spelling of 88120 in words is "eighty-eight thousand, one hundred twenty".