90114480 has 120 divisors (see below), whose sum is σ = 304435872. Its totient is φ = 23887872.

The previous prime is 90114461. The next prime is 90114487. The reversal of 90114480 is 8441109.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (90114487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 184797 + ... + 185283.

Almost surely, 2^90114480 is an apocalyptic number.

90114480 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 90114480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152217936).

90114480 is an abundant number, since it is smaller than the sum of its proper divisors (214321392).

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

90114480 is a wasteful number, since it uses less digits than its factorization.

90114480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763 (or 754 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 90114480 is about 9492.8646888071. The cubic root of 90114480 is about 448.3304057090.

Adding to 90114480 its reverse (8441109), we get a palindrome (98555589).

The spelling of 90114480 in words is "ninety million, one hundred fourteen thousand, four hundred eighty".