90461280 has 384 divisors, whose sum is σ = 372556800. Its totient is φ = 17915904.

The previous prime is 90461257. The next prime is 90461281. The reversal of 90461280 is 8216409.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90461281) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 829866 + ... + 829974.

It is an arithmetic number, because the mean of its divisors is an integer number (970200).

Almost surely, 2^90461280 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 90461280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186278400).

90461280 is an abundant number, since it is smaller than the sum of its proper divisors (282095520).

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

90461280 is a wasteful number, since it uses less digits than its factorization.

90461280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 90461280 is about 9511.1134994805. The cubic root of 90461280 is about 448.9047934472.

Adding to 90461280 its reverse (8216409), we get a palindrome (98677689).

The spelling of 90461280 in words is "ninety million, four hundred sixty-one thousand, two hundred eighty".