89305440 has 144 divisors (see below), whose sum is σ = 327326832. Its totient is φ = 20407296.

The previous prime is 89305423. The next prime is 89305441. The reversal of 89305440 is 4450398.

It is a super-2 number, since 2×89305440² = 15950923227187200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89305441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21622 + ... + 25418.

It is an arithmetic number, because the mean of its divisors is an integer number (2273103).

Almost surely, 2^89305440 is an apocalyptic number.

89305440 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89305440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163663416).

89305440 is an abundant number, since it is smaller than the sum of its proper divisors (238021392).

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

89305440 is a wasteful number, since it uses less digits than its factorization.

89305440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3829 (or 3814 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 89305440 is about 9450.1555542753. The cubic root of 89305440 is about 446.9846798447.

The spelling of 89305440 in words is "eighty-nine million, three hundred five thousand, four hundred forty".