16133664 has 48 divisors (see below), whose sum is σ = 43394400. Its totient is φ = 5245440.

The previous prime is 16133647. The next prime is 16133681. The reversal of 16133664 is 46633161.

It is an interprime number because it is at equal distance from previous prime (16133647) and next prime (16133681).

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×16133664² = 520590228129792, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

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 7 ways as a sum of consecutive naturals, for example, 1887 + ... + 5985.

It is an arithmetic number, because the mean of its divisors is an integer number (904050).

Almost surely, 2^16133664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16133664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21697200).

16133664 is an abundant number, since it is smaller than the sum of its proper divisors (27260736).

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

16133664 is a wasteful number, since it uses less digits than its factorization.

16133664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4153 (or 4145 counting only the distinct ones).

The product of its digits is 7776, while the sum is 30.

The square root of 16133664 is about 4016.6732503404. The cubic root of 16133664 is about 252.6839570491.

The spelling of 16133664 in words is "sixteen million, one hundred thirty-three thousand, six hundred sixty-four".