16485600 has 72 divisors (see below), whose sum is σ = 53668440. Its totient is φ = 4395520.

The previous prime is 16485589. The next prime is 16485607. The reversal of 16485600 is 658461.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16485607) 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, 1035 + ... + 5834.

It is an arithmetic number, because the mean of its divisors is an integer number (745395).

Almost surely, 2^16485600 is an apocalyptic number.

16485600 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 16485600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26834220).

16485600 is an abundant number, since it is smaller than the sum of its proper divisors (37182840).

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

16485600 is a wasteful number, since it uses less digits than its factorization.

16485600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6892 (or 6879 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 16485600 is about 4060.2462979479. The cubic root of 16485600 is about 254.5080866605.

The spelling of 16485600 in words is "sixteen million, four hundred eighty-five thousand, six hundred".