16085952 has 140 divisors (see below), whose sum is σ = 49789080. Its totient is φ = 5128704.

The previous prime is 16085939. The next prime is 16085957. The reversal of 16085952 is 25958061.

It is a happy number.

16085952 is a `hidden beast` number, since 1 + 60 + 8 + 595 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16085957) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 150283 + ... + 150389.

Almost surely, 2^16085952 is an apocalyptic number.

16085952 is a gapful number since it is divisible by the number (12) 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 16085952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24894540).

16085952 is an abundant number, since it is smaller than the sum of its proper divisors (33703128).

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

16085952 is a wasteful number, since it uses less digits than its factorization.

16085952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 16085952 is about 4010.7296094352. The cubic root of 16085952 is about 252.4346241230.

The spelling of 16085952 in words is "sixteen million, eighty-five thousand, nine hundred fifty-two".