88220 has 24 divisors (see below), whose sum is σ = 202608. Its totient is φ = 32000.

The previous prime is 88211. The next prime is 88223. The reversal of 88220 is 2288.

88220 = T₅₆ + T₅₇ + ... + T₈₈.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a plaindrome in base 16.

It is a nialpdrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 88192 and 88201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88223) by changing a digit.

88220 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20 + ... + 420.

It is an arithmetic number, because the mean of its divisors is an integer number (8442).

2⁸⁸²²⁰ 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 88220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101304).

88220 is an abundant number, since it is smaller than the sum of its proper divisors (114388).

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

88220 is a wasteful number, since it uses less digits than its factorization.

88220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 88220 is about 297.0185179412. The cubic root of 88220 is about 44.5166373004.

It can be divided in two parts, 8 and 8220, that added together give a palindrome (8228).

The spelling of 88220 in words is "eighty-eight thousand, two hundred twenty".