90270000 has 300 divisors, whose sum is σ = 339922440. Its totient is φ = 22272000.

The previous prime is 90269999. The next prime is 90270031. The reversal of 90270000 is 7209.

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 1529971 + ... + 1530029.

Almost surely, 2^90270000 is an apocalyptic number.

90270000 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 90270000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169961220).

90270000 is an abundant number, since it is smaller than the sum of its proper divisors (249652440).

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

90270000 is a wasteful number, since it uses less digits than its factorization.

90270000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 90270000 is about 9501.0525732679. The cubic root of 90270000 is about 448.5881677353.

Adding to 90270000 its reverse (7209), we get a palindrome (90277209).

It can be divided in two parts, 90 and 270000, that multiplied together give a 5-th power (24300000 = 30⁵).

The spelling of 90270000 in words is "ninety million, two hundred seventy thousand".