16542064 has 80 divisors (see below), whose sum is σ = 41425920. Its totient is φ = 6209280.

The previous prime is 16542061. The next prime is 16542079. The reversal of 16542064 is 46024561.

16542064 = T₁ + T₂ + ... + T₄₆₂.

16542064 is a nontrivial binomial coefficient, being equal to C(464, 3).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16542061) by changing a digit.

It is the 462-nd tetrahedral number.

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 15 ways as a sum of consecutive naturals, for example, 35497 + ... + 35959.

It is an arithmetic number, because the mean of its divisors is an integer number (517824).

Almost surely, 2^16542064 is an apocalyptic number.

16542064 is a gapful number since it is divisible by the number (14) 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 16542064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20712960).

16542064 is an abundant number, since it is smaller than the sum of its proper divisors (24883856).

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

16542064 is a wasteful number, since it uses less digits than its factorization.

16542064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 16542064 is about 4067.1936270603. The cubic root of 16542064 is about 254.7983231728.

The spelling of 16542064 in words is "sixteen million, five hundred forty-two thousand, sixty-four".