16961672 has 64 divisors (see below), whose sum is σ = 40884480. Its totient is φ = 6412032.

The previous prime is 16961671. The next prime is 16961677. The reversal of 16961672 is 27616961.

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (16961671) 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, 16238 + ... + 17250.

It is an arithmetic number, because the mean of its divisors is an integer number (638820).

Almost surely, 2^16961672 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 16961672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20442240).

16961672 is an abundant number, since it is smaller than the sum of its proper divisors (23922808).

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

16961672 is a wasteful number, since it uses less digits than its factorization.

16961672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1062 (or 1058 counting only the distinct ones).

The product of its digits is 27216, while the sum is 38.

The square root of 16961672 is about 4118.4550501371. The cubic root of 16961672 is about 256.9347742844.

The spelling of 16961672 in words is "sixteen million, nine hundred sixty-one thousand, six hundred seventy-two".