89821224 has 80 divisors (see below), whose sum is σ = 254354100. Its totient is φ = 29611008.

The previous prime is 89821211. The next prime is 89821241. The reversal of 89821224 is 42212898.

It can be written as a sum of positive squares in 2 ways, for example, as 82628100 + 7193124 = 9090^2 + 2682^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 62142 + ... + 63570.

Almost surely, 2^89821224 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 89821224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127177050).

89821224 is an abundant number, since it is smaller than the sum of its proper divisors (164532876).

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

89821224 is a wasteful number, since it uses less digits than its factorization.

89821224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1544 (or 1531 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 89821224 is about 9477.4059742105. The cubic root of 89821224 is about 447.8435492183.

It can be divided in two parts, 898 and 21224, that added together give a palindrome (22122).

The spelling of 89821224 in words is "eighty-nine million, eight hundred twenty-one thousand, two hundred twenty-four".