89109468 has 144 divisors (see below), whose sum is σ = 278853120. Its totient is φ = 23421312.

The previous prime is 89109467. The next prime is 89109481. The reversal of 89109468 is 86490198.

89109468 is a `hidden beast` number, since 89 + 109 + 468 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89109463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 176905 + ... + 177407.

It is an arithmetic number, because the mean of its divisors is an integer number (1936480).

Almost surely, 2^89109468 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 89109468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139426560).

89109468 is an abundant number, since it is smaller than the sum of its proper divisors (189743652).

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

89109468 is a wasteful number, since it uses less digits than its factorization.

89109468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 571 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 89109468 is about 9439.7811415308. The cubic root of 89109468 is about 446.6574857646.

The spelling of 89109468 in words is "eighty-nine million, one hundred nine thousand, four hundred sixty-eight".