88420 has 12 divisors (see below), whose sum is σ = 185724. Its totient is φ = 35360.

The previous prime is 88411. The next prime is 88423. The reversal of 88420 is 2488.

It can be written as a sum of positive squares in 2 ways, for example, as 53824 + 34596 = 232^2 + 186^2 .

It is an Ulam number.

It is a nialpdrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 88391 and 88400.

It is not an unprimeable number, because it can be changed into a prime (88423) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2191 + ... + 2230.

It is an arithmetic number, because the mean of its divisors is an integer number (15477).

2⁸⁸⁴²⁰ is an apocalyptic number.

It is an amenable number.

88420 is an abundant number, since it is smaller than the sum of its proper divisors (97304).

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 (92862).

88420 is a wasteful number, since it uses less digits than its factorization.

88420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4430 (or 4428 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

The square root of 88420 is about 297.3550066839. The cubic root of 88420 is about 44.5502525343.

The spelling of 88420 in words is "eighty-eight thousand, four hundred twenty".