90258498 has 72 divisors (see below), whose sum is σ = 222522300. Its totient is φ = 26389440.

The previous prime is 90258481. The next prime is 90258499. The reversal of 90258498 is 89485209.

It can be written as a sum of positive squares in 2 ways, for example, as 84768849 + 5489649 = 9207^2 + 2343^2 .

It is a super-2 number, since 2×90258498² = 16293192922432008, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (90258499) 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 35 ways as a sum of consecutive naturals, for example, 62448 + ... + 63876.

Almost surely, 2^90258498 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90258498, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111261150).

90258498 is an abundant number, since it is smaller than the sum of its proper divisors (132263802).

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

90258498 is a wasteful number, since it uses less digits than its factorization.

90258498 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1488 (or 1474 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 90258498 is about 9500.4472526297. The cubic root of 90258498 is about 448.5691142282.

The spelling of 90258498 in words is "ninety million, two hundred fifty-eight thousand, four hundred ninety-eight".