16478320 has 80 divisors (see below), whose sum is σ = 41559840. Its totient is φ = 6054912.

The previous prime is 16478317. The next prime is 16478347. The reversal of 16478320 is 2387461.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56094 + ... + 56386.

It is an arithmetic number, because the mean of its divisors is an integer number (519498).

Almost surely, 2^16478320 is an apocalyptic number.

16478320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

16478320 is the 2344-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16478320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20779920).

16478320 is an abundant number, since it is smaller than the sum of its proper divisors (25081520).

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

16478320 is a wasteful number, since it uses less digits than its factorization.

16478320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 16478320 is about 4059.3497016148. The cubic root of 16478320 is about 254.4706177650.

The spelling of 16478320 in words is "sixteen million, four hundred seventy-eight thousand, three hundred twenty".