90258840 has 128 divisors (see below), whose sum is σ = 343872000. Its totient is φ = 20628864.

The previous prime is 90258827. The next prime is 90258851. The reversal of 90258840 is 4885209.

It is a super-3 number, since 3×90258840³ (a number of 25 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 90258795 and 90258804.

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 31 ways as a sum of consecutive naturals, for example, 1591 + ... + 13529.

It is an arithmetic number, because the mean of its divisors is an integer number (2686500).

Almost surely, 2^90258840 is an apocalyptic number.

90258840 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 90258840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171936000).

90258840 is an abundant number, since it is smaller than the sum of its proper divisors (253613160).

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

90258840 is a wasteful number, since it uses less digits than its factorization.

90258840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11966 (or 11956 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 90258840 is about 9500.4652517653. The cubic root of 90258840 is about 448.5696807877.

The spelling of 90258840 in words is "ninety million, two hundred fifty-eight thousand, eight hundred forty".