89324820 has 144 divisors (see below), whose sum is σ = 297198720. Its totient is φ = 21581568.

The previous prime is 89324819. The next prime is 89324821. The reversal of 89324820 is 2842398.

It is an interprime number because it is at equal distance from previous prime (89324819) and next prime (89324821).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89324821) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 137737 + ... + 138383.

It is an arithmetic number, because the mean of its divisors is an integer number (2063880).

Almost surely, 2^89324820 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 89324820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148599360).

89324820 is an abundant number, since it is smaller than the sum of its proper divisors (207873900).

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

89324820 is a wasteful number, since it uses less digits than its factorization.

89324820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 89324820 is about 9451.1808785992. The cubic root of 89324820 is about 447.0170105984.

The spelling of 89324820 in words is "eighty-nine million, three hundred twenty-four thousand, eight hundred twenty".