16542000 has 120 divisors (see below), whose sum is σ = 57838560. Its totient is φ = 4406400.

The previous prime is 16541981. The next prime is 16542017. The reversal of 16542000 is 24561.

It is a happy number.

16542000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17541 + ... + 18459.

It is an arithmetic number, because the mean of its divisors is an integer number (481988).

Almost surely, 2^16542000 is an apocalyptic number.

16542000 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 16542000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28919280).

16542000 is an abundant number, since it is smaller than the sum of its proper divisors (41296560).

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

16542000 is a wasteful number, since it uses less digits than its factorization.

16542000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 948 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 16542000 is about 4067.1857592198. The cubic root of 16542000 is about 254.7979945739.

Adding to 16542000 its reverse (24561), we get a palindrome (16566561).

The spelling of 16542000 in words is "sixteen million, five hundred forty-two thousand".