89481024 has 140 divisors (see below), whose sum is σ = 272364708. Its totient is φ = 29030400.

The previous prime is 89481019. The next prime is 89481031. The reversal of 89481024 is 42018498.

It can be written as a sum of positive squares in 2 ways, for example, as 1871424 + 87609600 = 1368^2 + 9360^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 89481024.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 212334 + ... + 212754.

Almost surely, 2^89481024 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 89481024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136182354).

89481024 is an abundant number, since it is smaller than the sum of its proper divisors (182883684).

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

89481024 is a wasteful number, since it uses less digits than its factorization.

89481024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 467 counting only the distinct ones).

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

The square root of 89481024 is about 9459.4409982831. The cubic root of 89481024 is about 447.2774278885.

It can be divided in two parts, 894 and 81024, that added together give a palindrome (81918).

The spelling of 89481024 in words is "eighty-nine million, four hundred eighty-one thousand, twenty-four".