89809434 has 192 divisors, whose sum is σ = 250967808. Its totient is φ = 22809600.

The previous prime is 89809417. The next prime is 89809439. The reversal of 89809434 is 43490898.

It is a happy number.

It is a super-3 number, since 3×89809434³ (a number of 25 digits) contains 333 as substring.

It is a house number.

It is a self number, because there is not a number n which added to its sum of digits gives 89809434.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89809439) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2190454 + ... + 2190494.

It is an arithmetic number, because the mean of its divisors is an integer number (1307124).

Almost surely, 2^89809434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89809434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125483904).

89809434 is an abundant number, since it is smaller than the sum of its proper divisors (161158374).

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

89809434 is a wasteful number, since it uses less digits than its factorization.

89809434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 89809434 is about 9476.7839481546. The cubic root of 89809434 is about 447.8239536029.

The spelling of 89809434 in words is "eighty-nine million, eight hundred nine thousand, four hundred thirty-four".