16811616 has 48 divisors (see below), whose sum is σ = 45332784. Its totient is φ = 5451264.

The previous prime is 16811609. The next prime is 16811671. The reversal of 16811616 is 61611861.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1186 + ... + 5918.

It is an arithmetic number, because the mean of its divisors is an integer number (944433).

Almost surely, 2^16811616 is an apocalyptic number.

16811616 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 16811616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22666392).

16811616 is an abundant number, since it is smaller than the sum of its proper divisors (28521168).

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

16811616 is a wasteful number, since it uses less digits than its factorization.

16811616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4783 (or 4775 counting only the distinct ones).

The product of its digits is 1728, while the sum is 30.

The square root of 16811616 is about 4100.1970684346. The cubic root of 16811616 is about 256.1748479995.

The spelling of 16811616 in words is "sixteen million, eight hundred eleven thousand, six hundred sixteen".