16417968 has 80 divisors (see below), whose sum is σ = 48973056. Its totient is φ = 4642560.

The previous prime is 16417909. The next prime is 16417997. The reversal of 16417968 is 86971461.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

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, 43830 + ... + 44202.

Almost surely, 2^16417968 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 16417968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24486528).

16417968 is an abundant number, since it is smaller than the sum of its proper divisors (32555088).

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

16417968 is a wasteful number, since it uses less digits than its factorization.

16417968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 516 counting only the distinct ones).

The product of its digits is 72576, while the sum is 42.

The square root of 16417968 is about 4051.9091796337. The cubic root of 16417968 is about 254.1595707177.

The spelling of 16417968 in words is "sixteen million, four hundred seventeen thousand, nine hundred sixty-eight".