41868000 has 144 divisors (see below), whose sum is σ = 148717296. Its totient is φ = 11155200.

The previous prime is 41867989. The next prime is 41868007. The reversal of 41868000 is 86814.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41868007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35419 + ... + 36581.

It is an arithmetic number, because the mean of its divisors is an integer number (1032759).

Almost surely, 2^41868000 is an apocalyptic number.

41868000 is a gapful number since it is divisible by the number (40) 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 41868000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74358648).

41868000 is an abundant number, since it is smaller than the sum of its proper divisors (106849296).

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

41868000 is a wasteful number, since it uses less digits than its factorization.

41868000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1194 (or 1173 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 41868000 is about 6470.5486629806. The cubic root of 41868000 is about 347.2381271529.

The spelling of 41868000 in words is "forty-one million, eight hundred sixty-eight thousand".