16045632 has 84 divisors (see below), whose sum is σ = 46657260. Its totient is φ = 5271552.

The previous prime is 16045621. The next prime is 16045663. The reversal of 16045632 is 23654061.

16045632 is a `hidden beast` number, since 1 + 604 + 56 + 3 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1115136 + 14930496 = 1056^2 + 3864^2 .

It is a junction number, because it is equal to n+sod(n) for n = 16045596 and 16045605.

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 11 ways as a sum of consecutive naturals, for example, 51108 + ... + 51420.

Almost surely, 2^16045632 is an apocalyptic number.

16045632 is a gapful number since it is divisible by the number (12) 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 16045632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23328630).

16045632 is an abundant number, since it is smaller than the sum of its proper divisors (30611628).

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

16045632 is a wasteful number, since it uses less digits than its factorization.

16045632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 16045632 is about 4005.6999388372. The cubic root of 16045632 is about 252.2235355930.

Adding to 16045632 its reverse (23654061), we get a palindrome (39699693).

The spelling of 16045632 in words is "sixteen million, forty-five thousand, six hundred thirty-two".