16152800 has 72 divisors (see below), whose sum is σ = 40200552. Its totient is φ = 6336000.

The previous prime is 16152779. The next prime is 16152809. The reversal of 16152800 is 825161.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16152809) by changing a digit.

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, 48635 + ... + 48965.

It is an arithmetic number, because the mean of its divisors is an integer number (558341).

Almost surely, 2^16152800 is an apocalyptic number.

16152800 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 16152800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20100276).

16152800 is an abundant number, since it is smaller than the sum of its proper divisors (24047752).

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

16152800 is a wasteful number, since it uses less digits than its factorization.

16152800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 23.

The square root of 16152800 is about 4019.0546152049. The cubic root of 16152800 is about 252.7838196662.

Adding to 16152800 its reverse (825161), we get a palindrome (16977961).

The spelling of 16152800 in words is "sixteen million, one hundred fifty-two thousand, eight hundred".