90450080 has 144 divisors (see below), whose sum is σ = 253380960. Its totient is φ = 30417408.

The previous prime is 90450079. The next prime is 90450083. The reversal of 90450080 is 8005409.

It is not an unprimeable number, because it can be changed into a prime (90450083) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 650651 + ... + 650789.

It is an arithmetic number, because the mean of its divisors is an integer number (1759590).

Almost surely, 2^90450080 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 90450080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126690480).

90450080 is an abundant number, since it is smaller than the sum of its proper divisors (162930880).

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

90450080 is a wasteful number, since it uses less digits than its factorization.

90450080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 90450080 is about 9510.5246963561. The cubic root of 90450080 is about 448.8862664001.

Adding to 90450080 its reverse (8005409), we get a palindrome (98455489).

The spelling of 90450080 in words is "ninety million, four hundred fifty thousand, eighty".