90023400 has 120 divisors (see below), whose sum is σ = 312720870. Its totient is φ = 24001920.

The previous prime is 90023399. The next prime is 90023429. The reversal of 90023400 is 432009.

It can be written as a sum of positive squares in 3 ways, for example, as 83942244 + 6081156 = 9162^2 + 2466^2 .

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

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

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 13422 + ... + 18978.

Almost surely, 2^90023400 is an apocalyptic number.

90023400 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 90023400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156360435).

90023400 is an abundant number, since it is smaller than the sum of its proper divisors (222697470).

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

90023400 is a wasteful number, since it uses less digits than its factorization.

90023400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5585 (or 5567 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 90023400 is about 9488.0661886393. The cubic root of 90023400 is about 448.1793101313.

Adding to 90023400 its reverse (432009), we get a palindrome (90455409).

The spelling of 90023400 in words is "ninety million, twenty-three thousand, four hundred".