88038 has 24 divisors (see below), whose sum is σ = 196248. Its totient is φ = 28512.

The previous prime is 88037. The next prime is 88069. The reversal of 88038 is 83088.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88037) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1170 + ... + 1242.

It is an arithmetic number, because the mean of its divisors is an integer number (8177).

2⁸⁸⁰³⁸ is an apocalyptic number.

88038 is an abundant number, since it is smaller than the sum of its proper divisors (108210).

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 (98124).

88038 is a wasteful number, since it uses less digits than its factorization.

88038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 88038 is about 296.7119815579. The cubic root of 88038 is about 44.4860032570.

Subtracting from 88038 its reverse (83088), we obtain a triangular number (4950 = T₉₉).

The spelling of 88038 in words is "eighty-eight thousand, thirty-eight".