16772064 has 96 divisors (see below), whose sum is σ = 47900160. Its totient is φ = 5117952.

The previous prime is 16772057. The next prime is 16772099. The reversal of 16772064 is 46027761.

16772064 = T₁₈₇ + T₁₈₈ + ... + T₄₇₄.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70057 + ... + 70295.

It is an arithmetic number, because the mean of its divisors is an integer number (498960).

Almost surely, 2^16772064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16772064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23950080).

16772064 is an abundant number, since it is smaller than the sum of its proper divisors (31128096).

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

16772064 is a wasteful number, since it uses less digits than its factorization.

16772064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 16772064 is about 4095.3710454610. The cubic root of 16772064 is about 255.9737928901.

It can be divided in two parts, 1677 and 2064, that added together give a triangular number (3741 = T₈₆).

The spelling of 16772064 in words is "sixteen million, seven hundred seventy-two thousand, sixty-four".