90237280 has 192 divisors, whose sum is σ = 264757248. Its totient is φ = 28385280.

The previous prime is 90237253. The next prime is 90237293. The reversal of 90237280 is 8273209.

It is a Harshad number since it is a multiple of its sum of digits (31).

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 31 ways as a sum of consecutive naturals, for example, 798504 + ... + 798616.

It is an arithmetic number, because the mean of its divisors is an integer number (1378944).

Almost surely, 2^90237280 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 90237280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132378624).

90237280 is an abundant number, since it is smaller than the sum of its proper divisors (174519968).

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

90237280 is a wasteful number, since it uses less digits than its factorization.

90237280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 90237280 is about 9499.3305027249. The cubic root of 90237280 is about 448.5339615442.

The spelling of 90237280 in words is "ninety million, two hundred thirty-seven thousand, two hundred eighty".