18032400 has 90 divisors (see below), whose sum is σ = 62589930. Its totient is φ = 4807680.

The previous prime is 18032381. The next prime is 18032407. The reversal of 18032400 is 423081.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 992016 + 17040384 = 996^2 + 4128^2 .

It is a tau number, because it is divible by the number of its divisors (90).

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

It is not an unprimeable number, because it can be changed into a prime (18032407) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1096 + ... + 6104.

Almost surely, 2^18032400 is an apocalyptic number.

18032400 is a gapful number since it is divisible by the number (10) 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 18032400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31294965).

18032400 is an abundant number, since it is smaller than the sum of its proper divisors (44557530).

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

18032400 is a wasteful number, since it uses less digits than its factorization.

18032400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5033 (or 5019 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 18032400 is about 4246.4573470129. The cubic root of 18032400 is about 262.2312896521.

Adding to 18032400 its reverse (423081), we get a palindrome (18455481).

It can be divided in two parts, 180 and 32400, that multiplied together give a cube (5832000 = 180³).

The spelling of 18032400 in words is "eighteen million, thirty-two thousand, four hundred".