16085664 has 144 divisors (see below), whose sum is σ = 53464320. Its totient is φ = 4492800.

The previous prime is 16085599. The next prime is 16085677. The reversal of 16085664 is 46658061.

16085664 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 159214 + ... + 159314.

It is an arithmetic number, because the mean of its divisors is an integer number (371280).

Almost surely, 2^16085664 is an apocalyptic number.

16085664 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 16085664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26732160).

16085664 is an abundant number, since it is smaller than the sum of its proper divisors (37378656).

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

16085664 is a wasteful number, since it uses less digits than its factorization.

16085664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 16085664 is about 4010.6937055826. The cubic root of 16085664 is about 252.4331175992.

The spelling of 16085664 in words is "sixteen million, eighty-five thousand, six hundred sixty-four".