89416872 has 80 divisors (see below), whose sum is σ = 265215060. Its totient is φ = 28048896.

The previous prime is 89416871. The next prime is 89416931. The reversal of 89416872 is 27861498.

It can be written as a sum of positive squares in 2 ways, for example, as 76842756 + 12574116 = 8766^2 + 3546^2 .

It is not an unprimeable number, because it can be changed into a prime (89416871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6958 + ... + 15074.

Almost surely, 2^89416872 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 89416872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132607530).

89416872 is an abundant number, since it is smaller than the sum of its proper divisors (175798188).

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

89416872 is a wasteful number, since it uses less digits than its factorization.

89416872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8152 (or 8139 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 89416872 is about 9456.0494922563. The cubic root of 89416872 is about 447.1705128497.

It can be divided in two parts, 894 and 16872, that added together give a triangular number (17766 = T₁₈₈).

The spelling of 89416872 in words is "eighty-nine million, four hundred sixteen thousand, eight hundred seventy-two".