89765088 has 144 divisors (see below), whose sum is σ = 280264320. Its totient is φ = 24641280.

The previous prime is 89765077. The next prime is 89765141. The reversal of 89765088 is 88056798.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 89765088.

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 23 ways as a sum of consecutive naturals, for example, 645723 + ... + 645861.

It is an arithmetic number, because the mean of its divisors is an integer number (1946280).

Almost surely, 2^89765088 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 89765088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140132160).

89765088 is an abundant number, since it is smaller than the sum of its proper divisors (190499232).

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

89765088 is a wasteful number, since it uses less digits than its factorization.

89765088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 51.

The square root of 89765088 is about 9474.4439414670. The cubic root of 89765088 is about 447.7502328005.

The spelling of 89765088 in words is "eighty-nine million, seven hundred sixty-five thousand, eighty-eight".