16773120 has 312 divisors, whose sum is σ = 71556576. Its totient is φ = 3538944.

The previous prime is 16773091. The next prime is 16773131. The reversal of 16773120 is 2137761.

16773120 is digitally balanced in base 2, because in such base 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 (312).

It is a nialpdrome in base 2, base 4, base 8 and base 16.

It is a zygodrome in base 2, base 4, base 8 and base 16.

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, 1290234 + ... + 1290246.

It is an arithmetic number, because the mean of its divisors is an integer number (229348).

Almost surely, 2^16773120 is an apocalyptic number.

16773120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a pronic number, being equal to 4095×4096.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16773120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35778288).

16773120 is an abundant number, since it is smaller than the sum of its proper divisors (54783456).

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

16773120 is a wasteful number, since it uses less digits than its factorization.

16773120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 16773120 is about 4095.4999694787. The cubic root of 16773120 is about 255.9791649710.

The spelling of 16773120 in words is "sixteen million, seven hundred seventy-three thousand, one hundred twenty".