16536000 has 224 divisors, whose sum is σ = 59911488. Its totient is φ = 3993600.

The previous prime is 16535993. The next prime is 16536017. The reversal of 16536000 is 63561.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 311974 + ... + 312026.

It is an arithmetic number, because the mean of its divisors is an integer number (267462).

Almost surely, 2^16536000 is an apocalyptic number.

16536000 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 16536000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29955744).

16536000 is an abundant number, since it is smaller than the sum of its proper divisors (43375488).

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

16536000 is a wasteful number, since it uses less digits than its factorization.

16536000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 16536000 is about 4066.4480815572. The cubic root of 16536000 is about 254.7671846589.

Adding to 16536000 its reverse (63561), we get a palindrome (16599561).

The spelling of 16536000 in words is "sixteen million, five hundred thirty-six thousand".