4188968 has 64 divisors (see below), whose sum is σ = 9830400. Its totient is φ = 1632960.

The previous prime is 4188901. The next prime is 4188971. The reversal of 4188968 is 8698814.

4188968 = T₂₇ + T₂₈ + ... + T₂₉₂.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32921 + ... + 33047.

It is an arithmetic number, because the mean of its divisors is an integer number (153600).

Almost surely, 2^4188968 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 4188968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4915200).

4188968 is an abundant number, since it is smaller than the sum of its proper divisors (5641432).

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

4188968 is a wasteful number, since it uses less digits than its factorization.

4188968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 186 counting only the distinct ones).

The product of its digits is 110592, while the sum is 44.

The square root of 4188968 is about 2046.6968510261. The cubic root of 4188968 is about 161.2014760952.

The spelling of 4188968 in words is "four million, one hundred eighty-eight thousand, nine hundred sixty-eight".