16008000 has 224 divisors, whose sum is σ = 57058560. Its totient is φ = 3942400.

The previous prime is 16007993. The next prime is 16008011. The reversal of 16008000 is 80061.

It is a Cunningham number, because it is equal to 4001²-1.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 551986 + ... + 552014.

Almost surely, 2^16008000 is an apocalyptic number.

16008000 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 16008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28529280).

16008000 is an abundant number, since it is smaller than the sum of its proper divisors (41050560).

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

16008000 is a wasteful number, since it uses less digits than its factorization.

16008000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 16008000 is about 4000.9998750312. Note that the first 3 decimals coincide. The cubic root of 16008000 is about 252.0262003497.

Adding to 16008000 its reverse (80061), we get a palindrome (16088061).

The spelling of 16008000 in words is "sixteen million, eight thousand".