41792160 has 96 divisors (see below), whose sum is σ = 133358400. Its totient is φ = 10999808.

The previous prime is 41792141. The next prime is 41792183. The reversal of 41792160 is 6129714.

41792160 = T₂₂₅ + T₂₂₆ + ... + T₆₃₉.

It is a happy number.

41792160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39316 + ... + 40364.

It is an arithmetic number, because the mean of its divisors is an integer number (1389150).

Almost surely, 2^41792160 is an apocalyptic number.

41792160 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 41792160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66679200).

41792160 is an abundant number, since it is smaller than the sum of its proper divisors (91566240).

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

41792160 is a wasteful number, since it uses less digits than its factorization.

41792160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1150 (or 1142 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 41792160 is about 6464.6856072047. The cubic root of 41792160 is about 347.0283372064.

The spelling of 41792160 in words is "forty-one million, seven hundred ninety-two thousand, one hundred sixty".