41638320 has 160 divisors (see below), whose sum is σ = 147579840. Its totient is φ = 10782720.

The previous prime is 41638313. The next prime is 41638339. The reversal of 41638320 is 2383614.

It is a happy number.

41638320 is a `hidden beast` number, since 4 + 1 + 638 + 3 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79660 + ... + 80180.

It is an arithmetic number, because the mean of its divisors is an integer number (922374).

Almost surely, 2^41638320 is an apocalyptic number.

41638320 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 41638320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73789920).

41638320 is an abundant number, since it is smaller than the sum of its proper divisors (105941520).

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

41638320 is a wasteful number, since it uses less digits than its factorization.

41638320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 41638320 is about 6452.7761467449. The cubic root of 41638320 is about 346.6020014164.

The spelling of 41638320 in words is "forty-one million, six hundred thirty-eight thousand, three hundred twenty".