16819400 has 48 divisors (see below), whose sum is σ = 42119700. Its totient is φ = 6209280.

The previous prime is 16819399. The next prime is 16819421. The reversal of 16819400 is 491861.

It can be written as a sum of positive squares in 6 ways, for example, as 481636 + 16337764 = 694^2 + 4042^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 635 + ... + 5834.

Almost surely, 2^16819400 is an apocalyptic number.

16819400 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 16819400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21059850).

16819400 is an abundant number, since it is smaller than the sum of its proper divisors (25300300).

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

16819400 is a wasteful number, since it uses less digits than its factorization.

16819400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6498 (or 6489 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 29.

The square root of 16819400 is about 4101.1461812523. The cubic root of 16819400 is about 256.2143793438.

The spelling of 16819400 in words is "sixteen million, eight hundred nineteen thousand, four hundred".