16006896 has 120 divisors (see below), whose sum is σ = 48746880. Its totient is φ = 5075136.

The previous prime is 16006853. The next prime is 16006937. The reversal of 16006896 is 69860061.

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

It is a self number, because there is not a number n which added to its sum of digits gives 16006896.

It is a congruent number.

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, 89335 + ... + 89513.

It is an arithmetic number, because the mean of its divisors is an integer number (406224).

Almost surely, 2^16006896 is an apocalyptic number.

16006896 is a gapful number since it is divisible by the number (16) 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 16006896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24373440).

16006896 is an abundant number, since it is smaller than the sum of its proper divisors (32739984).

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

16006896 is a wasteful number, since it uses less digits than its factorization.

16006896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 16006896 is about 4000.8619071395. The cubic root of 16006896 is about 252.0204065107.

The spelling of 16006896 in words is "sixteen million, six thousand, eight hundred ninety-six".