16446864 has 80 divisors (see below), whose sum is σ = 50155520. Its totient is φ = 4544640.

The previous prime is 16446847. The next prime is 16446869. The reversal of 16446864 is 46864461.

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

It is not an unprimeable number, because it can be changed into a prime (16446869) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9627 + ... + 11205.

It is an arithmetic number, because the mean of its divisors is an integer number (626944).

Almost surely, 2^16446864 is an apocalyptic number.

16446864 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 16446864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25077760).

16446864 is an abundant number, since it is smaller than the sum of its proper divisors (33708656).

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

16446864 is a wasteful number, since it uses less digits than its factorization.

16446864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1628 (or 1622 counting only the distinct ones).

The product of its digits is 110592, while the sum is 39.

The square root of 16446864 is about 4055.4733385882. The cubic root of 16446864 is about 254.3085922148.

The spelling of 16446864 in words is "sixteen million, four hundred forty-six thousand, eight hundred sixty-four".