4198968 has 48 divisors (see below), whose sum is σ = 11770200. Its totient is φ = 1350720.

The previous prime is 4198963. The next prime is 4198973. The reversal of 4198968 is 8698914.

It is an interprime number because it is at equal distance from previous prime (4198963) and next prime (4198973).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4198963) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1083 + ... + 3093.

Almost surely, 2^4198968 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 4198968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5885100).

4198968 is an abundant number, since it is smaller than the sum of its proper divisors (7571232).

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

4198968 is a wasteful number, since it uses less digits than its factorization.

4198968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2052 (or 2045 counting only the distinct ones).

The product of its digits is 124416, while the sum is 45.

The square root of 4198968 is about 2049.1383555046. The cubic root of 4198968 is about 161.3296487710.

It can be divided in two parts, 419896 and 8, that added together give a square (419904 = 648²).

The spelling of 4198968 in words is "four million, one hundred ninety-eight thousand, nine hundred sixty-eight".