16007985 has 48 divisors (see below), whose sum is σ = 32123520. Its totient is φ = 7223040.

The previous prime is 16007983. The next prime is 16007989. The reversal of 16007985 is 58970061.

It is not a de Polignac number, because 16007985 - 2¹ = 16007983 is a prime.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (16007983) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 27750 + ... + 28320.

It is an arithmetic number, because the mean of its divisors is an integer number (669240).

Almost surely, 2^16007985 is an apocalyptic number.

16007985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

16007985 is an abundant number, since it is smaller than the sum of its proper divisors (16115535).

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

16007985 is a wasteful number, since it uses less digits than its factorization.

16007985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678 (or 675 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 16007985 is about 4000.9980004994. The cubic root of 16007985 is about 252.0261216308.

The spelling of 16007985 in words is "sixteen million, seven thousand, nine hundred eighty-five".