90098000 has 80 divisors (see below), whose sum is σ = 229419840. Its totient is φ = 34128000.

The previous prime is 90097967. The next prime is 90098023. The reversal of 90098000 is 89009.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

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, 36815 + ... + 39185.

It is an arithmetic number, because the mean of its divisors is an integer number (2867748).

Almost surely, 2^90098000 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 90098000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114709920).

90098000 is an abundant number, since it is smaller than the sum of its proper divisors (139321840).

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

90098000 is a wasteful number, since it uses less digits than its factorization.

90098000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2413 (or 2397 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 26.

The square root of 90098000 is about 9491.9966287394. The cubic root of 90098000 is about 448.3030740469.

The spelling of 90098000 in words is "ninety million, ninety-eight thousand".