16123968 has 224 divisors, whose sum is σ = 57221120. Its totient is φ = 4354560.

The previous prime is 16123967. The next prime is 16123969. The reversal of 16123968 is 86932161.

16123968 is a `hidden beast` number, since 1 + 612 + 39 + 6 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (16123967) and next prime (16123969).

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 (16123963) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 374955 + ... + 374997.

Almost surely, 2^16123968 is an apocalyptic number.

16123968 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 16123968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28610560).

16123968 is an abundant number, since it is smaller than the sum of its proper divisors (41097152).

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

16123968 is a wasteful number, since it uses less digits than its factorization.

16123968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 86 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 16123968 is about 4015.4660999690. The cubic root of 16123968 is about 252.6333276195.

The spelling of 16123968 in words is "sixteen million, one hundred twenty-three thousand, nine hundred sixty-eight".