90288000 has 512 divisors, whose sum is σ = 381888000. Its totient is φ = 20736000.

The previous prime is 90287929. The next prime is 90288001. The reversal of 90288000 is 88209.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90288001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4751991 + ... + 4752009.

It is an arithmetic number, because the mean of its divisors is an integer number (745875).

Almost surely, 2^90288000 is an apocalyptic number.

90288000 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 90288000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190944000).

90288000 is an abundant number, since it is smaller than the sum of its proper divisors (291600000).

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

90288000 is a wasteful number, since it uses less digits than its factorization.

90288000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 90288000 is about 9501.9997895180. Note that the first 3 decimals coincide. The cubic root of 90288000 is about 448.6179821823.

The spelling of 90288000 in words is "ninety million, two hundred eighty-eight thousand".