16416320 has 84 divisors (see below), whose sum is σ = 41149524. Its totient is φ = 6236160.

The previous prime is 16416311. The next prime is 16416343. The reversal of 16416320 is 2361461.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1915456 + 14500864 = 1384^2 + 3808^2 .

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 269090 + ... + 269150.

Almost surely, 2^16416320 is an apocalyptic number.

16416320 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 16416320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20574762).

16416320 is an abundant number, since it is smaller than the sum of its proper divisors (24733204).

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

16416320 is an equidigital number, since it uses as much as digits as its factorization.

16416320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 16416320 is about 4051.7058136049. The cubic root of 16416320 is about 254.1510664378.

Adding to 16416320 its reverse (2361461), we get a palindrome (18777781).

The spelling of 16416320 in words is "sixteen million, four hundred sixteen thousand, three hundred twenty".