16290000 has 150 divisors (see below), whose sum is σ = 57283226. Its totient is φ = 4320000.

The previous prime is 16289971. The next prime is 16290007. The reversal of 16290000 is 9261.

It can be written as a sum of positive squares in 5 ways, for example, as 11778624 + 4511376 = 3432^2 + 2124^2 .

It is a tau number, because it is divible by the number of its divisors (150).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16290007) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 89910 + ... + 90090.

Almost surely, 2^16290000 is an apocalyptic number.

16290000 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 16290000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28641613).

16290000 is an abundant number, since it is smaller than the sum of its proper divisors (40993226).

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

16290000 is a wasteful number, since it uses less digits than its factorization.

16290000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 16290000 is about 4036.0872141221. The cubic root of 16290000 is about 253.4975082327.

Adding to 16290000 its reverse (9261), we get a palindrome (16299261).

The spelling of 16290000 in words is "sixteen million, two hundred ninety thousand".