16420000 has 60 divisors (see below), whose sum is σ = 40444866. Its totient is φ = 6560000.

The previous prime is 16419989. The next prime is 16420007. The reversal of 16420000 is 2461.

It can be written as a sum of positive squares in 5 ways, for example, as 1296 + 16418704 = 36^2 + 4052^2 .

It is not an unprimeable number, because it can be changed into a prime (16420007) 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 9 ways as a sum of consecutive naturals, for example, 19590 + ... + 20410.

Almost surely, 2^16420000 is an apocalyptic number.

16420000 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 16420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20222433).

16420000 is an abundant number, since it is smaller than the sum of its proper divisors (24024866).

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

16420000 is an frugal number, since it uses more digits than its factorization.

16420000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 851 (or 828 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 16420000 is about 4052.1599178710. The cubic root of 16420000 is about 254.1700557940.

Adding to 16420000 its reverse (2461), we get a palindrome (16422461).

It can be divided in two parts, 164 and 20000, that added together give a square (20164 = 142²).

The spelling of 16420000 in words is "sixteen million, four hundred twenty thousand".