16077984 has 72 divisors (see below), whose sum is σ = 45747072. Its totient is φ = 4942080.

The previous prime is 16077973. The next prime is 16078003. The reversal of 16077984 is 48977061.

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 11 ways as a sum of consecutive naturals, for example, 15729 + ... + 16719.

It is an arithmetic number, because the mean of its divisors is an integer number (635376).

Almost surely, 2^16077984 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 16077984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22873536).

16077984 is an abundant number, since it is smaller than the sum of its proper divisors (29669088).

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

16077984 is a wasteful number, since it uses less digits than its factorization.

16077984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1030 (or 1009 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 42.

The square root of 16077984 is about 4009.7361509207. The cubic root of 16077984 is about 252.3929369978.

It can be divided in two parts, 1607 and 7984, that added together give a triangular number (9591 = T₁₃₈).

The spelling of 16077984 in words is "sixteen million, seventy-seven thousand, nine hundred eighty-four".