16351920 has 120 divisors (see below), whose sum is σ = 59173296. Its totient is φ = 4022784.

The previous prime is 16351901. The next prime is 16351961. The reversal of 16351920 is 2915361.

16351920 is a `hidden beast` number, since 1 + 635 + 1 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 8487 + ... + 10233.

Almost surely, 2^16351920 is an apocalyptic number.

16351920 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 16351920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29586648).

16351920 is an abundant number, since it is smaller than the sum of its proper divisors (42821376).

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

16351920 is a wasteful number, since it uses less digits than its factorization.

16351920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1779 (or 1770 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 16351920 is about 4043.7507341576. The cubic root of 16351920 is about 253.8182923437.

It can be divided in two parts, 16351 and 920, that added together give a palindrome (17271).

The spelling of 16351920 in words is "sixteen million, three hundred fifty-one thousand, nine hundred twenty".