90000288 has 192 divisors, whose sum is σ = 313528320. Its totient is φ = 24558336.

The previous prime is 90000269. The next prime is 90000293. The reversal of 90000288 is 88200009.

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

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, 138781 + ... + 139427.

It is an arithmetic number, because the mean of its divisors is an integer number (1632960).

Almost surely, 2^90000288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90000288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156764160).

90000288 is an abundant number, since it is smaller than the sum of its proper divisors (223528032).

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

90000288 is a wasteful number, since it uses less digits than its factorization.

90000288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696 (or 682 counting only the distinct ones).

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

The square root of 90000288 is about 9486.8481594258. The cubic root of 90000288 is about 448.1409526717.

The spelling of 90000288 in words is "ninety million, two hundred eighty-eight", and thus it is an aban number.