16468920 has 320 divisors, whose sum is σ = 65862720. Its totient is φ = 3649536.

The previous prime is 16468891. The next prime is 16468931. The reversal of 16468920 is 2986461.

16468920 is a `hidden beast` number, since 1 + 646 + 8 + 9 + 2 + 0 = 666.

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

It is a zygodrome in base 9.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 716029 + ... + 716051.

It is an arithmetic number, because the mean of its divisors is an integer number (205821).

Almost surely, 2^16468920 is an apocalyptic number.

16468920 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 16468920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32931360).

16468920 is an abundant number, since it is smaller than the sum of its proper divisors (49393800).

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

16468920 is a wasteful number, since it uses less digits than its factorization.

16468920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 63 counting only the distinct ones).

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

The square root of 16468920 is about 4058.1917155305. The cubic root of 16468920 is about 254.4222212701.

The spelling of 16468920 in words is "sixteen million, four hundred sixty-eight thousand, nine hundred twenty".