41806320 has 80 divisors (see below), whose sum is σ = 132646272. Its totient is φ = 10886400.

The previous prime is 41806319. The next prime is 41806333. The reversal of 41806320 is 2360814.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8295 + ... + 12345.

Almost surely, 2^41806320 is an apocalyptic number.

41806320 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 41806320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66323136).

41806320 is an abundant number, since it is smaller than the sum of its proper divisors (90839952).

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

41806320 is a wasteful number, since it uses less digits than its factorization.

41806320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4110 (or 4104 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 41806320 is about 6465.7806953221. The cubic root of 41806320 is about 347.0675261068.

The spelling of 41806320 in words is "forty-one million, eight hundred six thousand, three hundred twenty".