16456960 has 144 divisors (see below), whose sum is σ = 45327744. Its totient is φ = 5677056.

The previous prime is 16456943. The next prime is 16456961. The reversal of 16456960 is 6965461.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16456961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 382699 + ... + 382741.

It is an arithmetic number, because the mean of its divisors is an integer number (314776).

Almost surely, 2^16456960 is an apocalyptic number.

16456960 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 16456960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22663872).

16456960 is an abundant number, since it is smaller than the sum of its proper divisors (28870784).

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

16456960 is a wasteful number, since it uses less digits than its factorization.

16456960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 37.

The square root of 16456960 is about 4056.7178851875. The cubic root of 16456960 is about 254.3606178243.

It can be divided in two parts, 16 and 456960, that added together give a 4-th power (456976 = 26⁴).

The spelling of 16456960 in words is "sixteen million, four hundred fifty-six thousand, nine hundred sixty".