16677120 has 144 divisors (see below), whose sum is σ = 55040832. Its totient is φ = 4300800.

The previous prime is 16677103. The next prime is 16677131. The reversal of 16677120 is 2177661.

It is a happy number.

16677120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 165070 + ... + 165170.

It is an arithmetic number, because the mean of its divisors is an integer number (382228).

Almost surely, 2^16677120 is an apocalyptic number.

16677120 is a gapful number since it is divisible by the number (10) 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 16677120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27520416).

16677120 is an abundant number, since it is smaller than the sum of its proper divisors (38363712).

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

16677120 is a wasteful number, since it uses less digits than its factorization.

16677120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 30.

The square root of 16677120 is about 4083.7629705946. The cubic root of 16677120 is about 255.4898695565.

The spelling of 16677120 in words is "sixteen million, six hundred seventy-seven thousand, one hundred twenty".