89082000 has 360 divisors, whose sum is σ = 365514552. Its totient is φ = 20160000.

The previous prime is 89081983. The next prime is 89082011. The reversal of 89082000 is 28098.

It can be written as a sum of positive squares in 4 ways, for example, as 571536 + 88510464 = 756^2 + 9408^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 881950 + ... + 882050.

Almost surely, 2^89082000 is an apocalyptic number.

89082000 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 89082000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182757276).

89082000 is an abundant number, since it is smaller than the sum of its proper divisors (276432552).

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

89082000 is a wasteful number, since it uses less digits than its factorization.

89082000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 89082000 is about 9438.3261227826. The cubic root of 89082000 is about 446.6115869807.

The spelling of 89082000 in words is "eighty-nine million, eighty-two thousand".