90005280 has 192 divisors, whose sum is σ = 304819200. Its totient is φ = 22256640.

The previous prime is 90005263. The next prime is 90005287. The reversal of 90005280 is 8250009.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 90005280.

It is not an unprimeable number, because it can be changed into a prime (90005287) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 647451 + ... + 647589.

It is an arithmetic number, because the mean of its divisors is an integer number (1587600).

Almost surely, 2^90005280 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 90005280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152409600).

90005280 is an abundant number, since it is smaller than the sum of its proper divisors (214813920).

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

90005280 is a wasteful number, since it uses less digits than its factorization.

90005280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 90005280 is about 9487.1112568579. Note that the first 3 decimals coincide. The cubic root of 90005280 is about 448.1492381203.

Adding to 90005280 its reverse (8250009), we get a palindrome (98255289).

The spelling of 90005280 in words is "ninety million, five thousand, two hundred eighty".