16518400 has 108 divisors (see below), whose sum is σ = 42770700. Its totient is φ = 6307840.

The previous prime is 16518389. The next prime is 16518409. The reversal of 16518400 is 481561.

It can be written as a sum of positive squares in 6 ways, for example, as 1401856 + 15116544 = 1184^2 + 3888^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16518409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 185556 + ... + 185644.

It is an arithmetic number, because the mean of its divisors is an integer number (396025).

Almost surely, 2^16518400 is an apocalyptic number.

16518400 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 16518400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21385350).

16518400 is an abundant number, since it is smaller than the sum of its proper divisors (26252300).

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

16518400 is an equidigital number, since it uses as much as digits as its factorization.

16518400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 25.

The square root of 16518400 is about 4064.2834546818. The cubic root of 16518400 is about 254.6767658918.

Adding to 16518400 its reverse (481561), we get a palindrome (16999961).

It can be divided in two parts, 16 and 518400, that multiplied together give a square (8294400 = 2880²).

The spelling of 16518400 in words is "sixteen million, five hundred eighteen thousand, four hundred".