89071392 has 96 divisors (see below), whose sum is σ = 251596800. Its totient is φ = 27502848.

The previous prime is 89071379. The next prime is 89071399. The reversal of 89071392 is 29317098.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 89071392.

It is not an unprimeable number, because it can be changed into a prime (89071399) 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 15 ways as a sum of consecutive naturals, for example, 85209 + ... + 86247.

It is an arithmetic number, because the mean of its divisors is an integer number (2620800).

Almost surely, 2^89071392 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 89071392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125798400).

89071392 is an abundant number, since it is smaller than the sum of its proper divisors (162525408).

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

89071392 is a wasteful number, since it uses less digits than its factorization.

89071392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1118 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 39.

The square root of 89071392 is about 9437.7641419989. The cubic root of 89071392 is about 446.5938585814.

The spelling of 89071392 in words is "eighty-nine million, seventy-one thousand, three hundred ninety-two".