41796160 has 112 divisors (see below), whose sum is σ = 116457984. Its totient is φ = 13989888.

The previous prime is 41796151. The next prime is 41796193. The reversal of 41796160 is 6169714.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105082 + ... + 105478.

Almost surely, 2^41796160 is an apocalyptic number.

41796160 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 41796160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58228992).

41796160 is an abundant number, since it is smaller than the sum of its proper divisors (74661824).

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

41796160 is a wasteful number, since it uses less digits than its factorization.

41796160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 34.

The square root of 41796160 is about 6464.9949729292. The cubic root of 41796160 is about 347.0394084142.

The spelling of 41796160 in words is "forty-one million, seven hundred ninety-six thousand, one hundred sixty".