16648920 has 96 divisors (see below), whose sum is σ = 54756000. Its totient is φ = 4386816.

The previous prime is 16648909. The next prime is 16648949. The reversal of 16648920 is 2984661.

16648920 = T₁₅ + T₁₆ + ... + T₄₆₃.

16648920 is a `hidden beast` number, since 1 + 6 + 648 + 9 + 2 + 0 = 666.

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

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 23 ways as a sum of consecutive naturals, for example, 36856 + ... + 37304.

It is an arithmetic number, because the mean of its divisors is an integer number (570375).

It is a vampire number, since it can be written as 2694 ⋅ 6180 (with its own digits).

Almost surely, 2^16648920 is an apocalyptic number.

16648920 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 16648920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27378000).

16648920 is an abundant number, since it is smaller than the sum of its proper divisors (38107080).

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

16648920 is a wasteful number, since it uses less digits than its factorization.

16648920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 569 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 16648920 is about 4080.3088118426. The cubic root of 16648920 is about 255.3457823458.

The spelling of 16648920 in words is "sixteen million, six hundred forty-eight thousand, nine hundred twenty".