16677136 has 80 divisors (see below), whose sum is σ = 41247360. Its totient is φ = 6359040.

The previous prime is 16677131. The next prime is 16677169. The reversal of 16677136 is 63177661.

16677136 = T₂₄₉ + T₂₅₀ + ... + T₄₈₆.

It is a junction number, because it is equal to n+sod(n) for n = 16677095 and 16677104.

It is not an unprimeable number, because it can be changed into a prime (16677131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35946 + ... + 36406.

It is an arithmetic number, because the mean of its divisors is an integer number (515592).

Almost surely, 2^16677136 is an apocalyptic number.

16677136 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 16677136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20623680).

16677136 is an abundant number, since it is smaller than the sum of its proper divisors (24570224).

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

16677136 is a wasteful number, since it uses less digits than its factorization.

16677136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 506 counting only the distinct ones).

The product of its digits is 31752, while the sum is 37.

The square root of 16677136 is about 4083.7649295717. The cubic root of 16677136 is about 255.4899512619.

The spelling of 16677136 in words is "sixteen million, six hundred seventy-seven thousand, one hundred thirty-six".