16164200 has 48 divisors (see below), whose sum is σ = 40479180. Its totient is φ = 5967360.

The previous prime is 16164199. The next prime is 16164217. The reversal of 16164200 is 246161.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 4726276 + 11437924 = 2174^2 + 3382^2 .

It is a super-2 number, since 2×16164200² = 522562723280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 509 + ... + 5708.

Almost surely, 2^16164200 is an apocalyptic number.

16164200 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 16164200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20239590).

16164200 is an abundant number, since it is smaller than the sum of its proper divisors (24314980).

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

16164200 is a wasteful number, since it uses less digits than its factorization.

16164200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6246 (or 6237 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 16164200 is about 4020.4726090349. The cubic root of 16164200 is about 252.8432739171.

The spelling of 16164200 in words is "sixteen million, one hundred sixty-four thousand, two hundred".