89811072 has 128 divisors (see below), whose sum is σ = 285600000. Its totient is φ = 27620352.

The previous prime is 89811049. The next prime is 89811077. The reversal of 89811072 is 27011898.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is not an unprimeable number, because it can be changed into a prime (89811077) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43929 + ... + 45927.

It is an arithmetic number, because the mean of its divisors is an integer number (2231250).

Almost surely, 2^89811072 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 89811072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142800000).

89811072 is an abundant number, since it is smaller than the sum of its proper divisors (195788928).

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

89811072 is a wasteful number, since it uses less digits than its factorization.

89811072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2035 (or 2017 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The square root of 89811072 is about 9476.8703694838. The cubic root of 89811072 is about 447.8266761498.

The spelling of 89811072 in words is "eighty-nine million, eight hundred eleven thousand, seventy-two".