16353936 has 45 divisors (see below), whose sum is σ = 45904521. Its totient is φ = 5435136.

The previous prime is 16353929. The next prime is 16353959. The reversal of 16353936 is 63935361.

The square root of 16353936 is 4044.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 4410000 + 11943936 = 2100^2 + 3456^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 16353936.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 48360 + ... + 48696.

Almost surely, 2^16353936 is an apocalyptic number.

16353936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

16353936 is the 4044-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16353936

16353936 is an abundant number, since it is smaller than the sum of its proper divisors (29550585).

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

16353936 is an equidigital number, since it uses as much as digits as its factorization.

16353936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688 (or 342 counting only the distinct ones).

The product of its digits is 43740, while the sum is 36.

The cubic root of 16353936 is about 253.8287228548.

Multiplying 16353936 by its sum of digits (36), we get a square (588741696 = 24264²).

16353936 divided by its sum of digits (36) gives a square (454276 = 674²).

The spelling of 16353936 in words is "sixteen million, three hundred fifty-three thousand, nine hundred thirty-six".