16810000 has 75 divisors (see below), whose sum is σ = 41715553. Its totient is φ = 6560000.

The previous prime is 16809997. The next prime is 16810007. The reversal of 16810000 is 1861.

The square root of 16810000 is 4100.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 16744464 + 65536 = 4092^2 + 256^2 .

It is a super-2 number, since 2×16810000² = 565152200000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (16810007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 409980 + ... + 410020.

Almost surely, 2^16810000 is an apocalyptic number.

16810000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

16810000 is the 4100-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16810000

16810000 is an abundant number, since it is smaller than the sum of its proper divisors (24905553).

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

16810000 is an frugal number, since it uses more digits than its factorization.

16810000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

The cubic root of 16810000 is about 256.1666395517.

Multiplying 16810000 by its sum of digits (16), we get a square (268960000 = 16400²).

16810000 divided by its sum of digits (16) gives a square (1050625 = 1025²).

Adding to 16810000 its reverse (1861), we get a palindrome (16811861).

It can be divided in two parts, 16 and 810000, that multiplied together give a 4-th power (12960000 = 60⁴).

The spelling of 16810000 in words is "sixteen million, eight hundred ten thousand".