89109504 has 176 divisors, whose sum is σ = 288872640. Its totient is φ = 26910720.

The previous prime is 89109497. The next prime is 89109511. The reversal of 89109504 is 40590198.

It is an interprime number because it is at equal distance from previous prime (89109497) and next prime (89109511).

It is a tau number, because it is divible by the number of its divisors (176).

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

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 303982 + ... + 304274.

Almost surely, 2^89109504 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 89109504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144436320).

89109504 is an abundant number, since it is smaller than the sum of its proper divisors (199763136).

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

89109504 is a wasteful number, since it uses less digits than its factorization.

89109504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 89109504 is about 9439.7830483544. The cubic root of 89109504 is about 446.6575459141.

The spelling of 89109504 in words is "eighty-nine million, one hundred nine thousand, five hundred four".