41798160 has 160 divisors (see below), whose sum is σ = 148145280. Its totient is φ = 10824192.

The previous prime is 41798117. The next prime is 41798161. The reversal of 41798160 is 6189714.

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

It is not an unprimeable number, because it can be changed into a prime (41798161) 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, 79659 + ... + 80181.

It is an arithmetic number, because the mean of its divisors is an integer number (925908).

Almost surely, 2^41798160 is an apocalyptic number.

41798160 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 41798160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74072640).

41798160 is an abundant number, since it is smaller than the sum of its proper divisors (106347120).

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

41798160 is a wasteful number, since it uses less digits than its factorization.

41798160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 41798160 is about 6465.1496502401. The cubic root of 41798160 is about 347.0449437532.

The spelling of 41798160 in words is "forty-one million, seven hundred ninety-eight thousand, one hundred sixty".