90014400 has 504 divisors, whose sum is σ = 393070080. Its totient is φ = 19077120.

The previous prime is 90014389. The next prime is 90014401. The reversal of 90014400 is 441009.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90014401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1915177 + ... + 1915223.

Almost surely, 2^90014400 is an apocalyptic number.

90014400 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 90014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196535040).

90014400 is an abundant number, since it is smaller than the sum of its proper divisors (303055680).

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

90014400 is a wasteful number, since it uses less digits than its factorization.

90014400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 90014400 is about 9487.5918967881. The cubic root of 90014400 is about 448.1643742064.

Adding to 90014400 its reverse (441009), we get a palindrome (90455409).

It can be divided in two parts, 900 and 14400, that multiplied together give a 4-th power (12960000 = 60⁴).

The spelling of 90014400 in words is "ninety million, fourteen thousand, four hundred".