89082840 has 256 divisors, whose sum is σ = 345047040. Its totient is φ = 17856000.

The previous prime is 89082827. The next prime is 89082853. The reversal of 89082840 is 4828098.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (89082827) and next prime (89082853).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 286285 + ... + 286595.

It is an arithmetic number, because the mean of its divisors is an integer number (1347840).

Almost surely, 2^89082840 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 89082840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172523520).

89082840 is an abundant number, since it is smaller than the sum of its proper divisors (255964200).

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

89082840 is a wasteful number, since it uses less digits than its factorization.

89082840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The square root of 89082840 is about 9438.3706220936. The cubic root of 89082840 is about 446.6129907531.

The spelling of 89082840 in words is "eighty-nine million, eighty-two thousand, eight hundred forty".