90881280 has 432 divisors, whose sum is σ = 382636800. Its totient is φ = 19869696.

The previous prime is 90881261. The next prime is 90881281. The reversal of 90881280 is 8218809.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90881281) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3951349 + ... + 3951371.

Almost surely, 2^90881280 is an apocalyptic number.

90881280 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 90881280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191318400).

90881280 is an abundant number, since it is smaller than the sum of its proper divisors (291755520).

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

90881280 is a wasteful number, since it uses less digits than its factorization.

90881280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 90881280 is about 9533.1673645227. The cubic root of 90881280 is about 449.5984566167.

The spelling of 90881280 in words is "ninety million, eight hundred eighty-one thousand, two hundred eighty".