90098820 has 144 divisors (see below), whose sum is σ = 326027520. Its totient is φ = 19692288.

The previous prime is 90098819. The next prime is 90098837. The reversal of 90098820 is 2889009.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 27426 + ... + 30534.

It is an arithmetic number, because the mean of its divisors is an integer number (2264080).

Almost surely, 2^90098820 is an apocalyptic number.

90098820 is a gapful number since it is divisible by the number (90) 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 90098820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163013760).

90098820 is an abundant number, since it is smaller than the sum of its proper divisors (235928700).

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

90098820 is a wasteful number, since it uses less digits than its factorization.

90098820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3154 (or 3149 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 90098820 is about 9492.0398229253. The cubic root of 90098820 is about 448.3044340749.

The spelling of 90098820 in words is "ninety million, ninety-eight thousand, eight hundred twenty".