16348968 has 144 divisors (see below), whose sum is σ = 50817780. Its totient is φ = 4727808.

The previous prime is 16348967. The next prime is 16348973. The reversal of 16348968 is 86984361.

16348968 is a `hidden beast` number, since 1 + 634 + 8 + 9 + 6 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 14152644 + 2196324 = 3762^2 + 1482^2 .

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (16348967) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 441846 + ... + 441882.

Almost surely, 2^16348968 is an apocalyptic number.

16348968 is a gapful number since it is divisible by the number (18) 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 16348968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25408890).

16348968 is an abundant number, since it is smaller than the sum of its proper divisors (34468812).

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

16348968 is a wasteful number, since it uses less digits than its factorization.

16348968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 78 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 16348968 is about 4043.3857100207. The cubic root of 16348968 is about 253.8030175484.

The spelling of 16348968 in words is "sixteen million, three hundred forty-eight thousand, nine hundred sixty-eight".