89906688 has 120 divisors (see below), whose sum is σ = 263320200. Its totient is φ = 29528064.

The previous prime is 89906683. The next prime is 89906717. The reversal of 89906688 is 88660998.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89906683) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 502183 + ... + 502361.

It is an arithmetic number, because the mean of its divisors is an integer number (2194335).

Almost surely, 2^89906688 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 89906688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131660100).

89906688 is an abundant number, since it is smaller than the sum of its proper divisors (173413512).

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

89906688 is a wasteful number, since it uses less digits than its factorization.

89906688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The square root of 89906688 is about 9481.9137308879. The cubic root of 89906688 is about 447.9855437512.

The spelling of 89906688 in words is "eighty-nine million, nine hundred six thousand, six hundred eighty-eight".