16950816 has 96 divisors (see below), whose sum is σ = 51649920. Its totient is φ = 5398272.

The previous prime is 16950811. The next prime is 16950823. The reversal of 16950816 is 61805961.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (16950811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19446 + ... + 20298.

It is an arithmetic number, because the mean of its divisors is an integer number (538020).

Almost surely, 2^16950816 is an apocalyptic number.

16950816 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 16950816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25824960).

16950816 is an abundant number, since it is smaller than the sum of its proper divisors (34699104).

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

16950816 is a wasteful number, since it uses less digits than its factorization.

16950816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 895 (or 881 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 16950816 is about 4117.1368692333. The cubic root of 16950816 is about 256.8799471582.

It can be divided in two parts, 16950 and 816, that added together give a triangular number (17766 = T₁₈₈).

The spelling of 16950816 in words is "sixteen million, nine hundred fifty thousand, eight hundred sixteen".