16001664 has 64 divisors (see below), whose sum is σ = 48584640. Its totient is φ = 4571136.

The previous prime is 16001663. The next prime is 16001681. The reversal of 16001664 is 46610061.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (16001663) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 289 + ... + 5664.

It is an arithmetic number, because the mean of its divisors is an integer number (759135).

Almost surely, 2^16001664 is an apocalyptic number.

16001664 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 16001664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24292320).

16001664 is an abundant number, since it is smaller than the sum of its proper divisors (32582976).

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

16001664 is an equidigital number, since it uses as much as digits as its factorization.

16001664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5977 (or 5965 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 16001664 is about 4000.2079945923. The cubic root of 16001664 is about 251.9929451288.

The spelling of 16001664 in words is "sixteen million, one thousand, six hundred sixty-four".