90251280 has 320 divisors, whose sum is σ = 365690880. Its totient is φ = 20030976.

The previous prime is 90251279. The next prime is 90251303. The reversal of 90251280 is 8215209.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 710577 + ... + 710703.

It is an arithmetic number, because the mean of its divisors is an integer number (1142784).

Almost surely, 2^90251280 is an apocalyptic number.

90251280 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 90251280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182845440).

90251280 is an abundant number, since it is smaller than the sum of its proper divisors (275439600).

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

90251280 is a wasteful number, since it uses less digits than its factorization.

90251280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 90251280 is about 9500.0673681822. The cubic root of 90251280 is about 448.5571565058.

Adding to 90251280 its reverse (8215209), we get a palindrome (98466489).

The spelling of 90251280 in words is "ninety million, two hundred fifty-one thousand, two hundred eighty".