41638920 has 64 divisors (see below), whose sum is σ = 127293120. Its totient is φ = 10892544.

The previous prime is 41638871. The next prime is 41638931. The reversal of 41638920 is 2983614.

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, 3087 + ... + 9633.

It is an arithmetic number, because the mean of its divisors is an integer number (1988955).

Almost surely, 2^41638920 is an apocalyptic number.

41638920 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 41638920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63646560).

41638920 is an abundant number, since it is smaller than the sum of its proper divisors (85654200).

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

41638920 is a wasteful number, since it uses less digits than its factorization.

41638920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6614 (or 6610 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 41638920 is about 6452.8226381949. The cubic root of 41638920 is about 346.6036662307.

The spelling of 41638920 in words is "forty-one million, six hundred thirty-eight thousand, nine hundred twenty".