16679520 has 336 divisors, whose sum is σ = 69409872. Its totient is φ = 3732480.

The previous prime is 16679513. The next prime is 16679527. The reversal of 16679520 is 2597661.

16679520 is a `hidden beast` number, since 1 + 66 + 79 + 520 = 666.

It is an interprime number because it is at equal distance from previous prime (16679513) and next prime (16679527).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16679527) by changing a digit.

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 55 ways as a sum of consecutive naturals, for example, 1283034 + ... + 1283046.

It is an arithmetic number, because the mean of its divisors is an integer number (206577).

It is a vampire number, since it can be written as 2970 ⋅ 5616 (with its own digits).

Almost surely, 2^16679520 is an apocalyptic number.

16679520 is a gapful number since it is divisible by the number (10) 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 16679520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34704936).

16679520 is an abundant number, since it is smaller than the sum of its proper divisors (52730352).

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

16679520 is a wasteful number, since it uses less digits than its factorization.

16679520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 16679520 is about 4084.0568066568. The cubic root of 16679520 is about 255.5021247955.

The spelling of 16679520 in words is "sixteen million, six hundred seventy-nine thousand, five hundred twenty".