16010000 has 50 divisors (see below), whose sum is σ = 38786022. Its totient is φ = 6400000.

The previous prime is 16009963. The next prime is 16010009. The reversal of 16010000 is 1061.

It can be written as a sum of positive squares in 5 ways, for example, as 1478656 + 14531344 = 1216^2 + 3812^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 16010000.

It is not an unprimeable number, because it can be changed into a prime (16010009) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 9200 + ... + 10800.

Almost surely, 2^16010000 is an apocalyptic number.

16010000 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 16010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19393011).

16010000 is an abundant number, since it is smaller than the sum of its proper divisors (22776022).

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

16010000 is an equidigital number, since it uses as much as digits as its factorization.

16010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1629 (or 1608 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 16010000 is about 4001.2498047485. The cubic root of 16010000 is about 252.0366957564.

Adding to 16010000 its reverse (1061), we get a palindrome (16011061).

The spelling of 16010000 in words is "sixteen million, ten thousand".