16413824 has 48 divisors (see below), whose sum is σ = 38052630. Its totient is φ = 7031808.

The previous prime is 16413811. The next prime is 16413827. The reversal of 16413824 is 42831461.

It can be written as a sum of positive squares in only one way, i.e., 9486400 + 6927424 = 3080^2 + 2632^2 .

It is not an unprimeable number, because it can be changed into a prime (16413827) 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 5 ways as a sum of consecutive naturals, for example, 4964 + ... + 7580.

Almost surely, 2^16413824 is an apocalyptic number.

16413824 is a gapful number since it is divisible by the number (14) 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 16413824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19026315).

16413824 is an abundant number, since it is smaller than the sum of its proper divisors (21638806).

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

16413824 is an equidigital number, since it uses as much as digits as its factorization.

16413824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2645 (or 2626 counting only the distinct ones).

The product of its digits is 4608, while the sum is 29.

The square root of 16413824 is about 4051.3977834816. The cubic root of 16413824 is about 254.1381850853.

The spelling of 16413824 in words is "sixteen million, four hundred thirteen thousand, eight hundred twenty-four".