90558000 has 400 divisors, whose sum is σ = 360456096. Its totient is φ = 21772800.

The previous prime is 90557993. The next prime is 90558007. The reversal of 90558000 is 85509.

It is an interprime number because it is at equal distance from previous prime (90557993) and next prime (90558007).

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-3 number, since 3×90558000³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (90558007) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 2105979 + ... + 2106021.

Almost surely, 2^90558000 is an apocalyptic number.

90558000 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 90558000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180228048).

90558000 is an abundant number, since it is smaller than the sum of its proper divisors (269898096).

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

90558000 is a wasteful number, since it uses less digits than its factorization.

90558000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 90558000 is about 9516.1967192781. The cubic root of 90558000 is about 449.0647241446.

The spelling of 90558000 in words is "ninety million, five hundred fifty-eight thousand".