16677144 has 64 divisors (see below), whose sum is σ = 50544000. Its totient is φ = 5052960.

The previous prime is 16677131. The next prime is 16677169. The reversal of 16677144 is 44177661.

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

It is a junction number, because it is equal to n+sod(n) for n = 16677099 and 16677108.

It is a congruent number.

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, 1134 + ... + 5885.

It is an arithmetic number, because the mean of its divisors is an integer number (789750).

Almost surely, 2^16677144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16677144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25272000).

16677144 is an abundant number, since it is smaller than the sum of its proper divisors (33866856).

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

16677144 is a wasteful number, since it uses less digits than its factorization.

16677144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7045 (or 7035 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 16677144 is about 4083.7659090599. The cubic root of 16677144 is about 255.4899921147.

The spelling of 16677144 in words is "sixteen million, six hundred seventy-seven thousand, one hundred forty-four".