41648640 has 320 divisors, whose sum is σ = 159096960. Its totient is φ = 9175040.

The previous prime is 41648603. The next prime is 41648641. The reversal of 41648640 is 4684614.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41648641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1436146 + ... + 1436174.

It is an arithmetic number, because the mean of its divisors is an integer number (497178).

Almost surely, 2^41648640 is an apocalyptic number.

41648640 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 41648640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79548480).

41648640 is an abundant number, since it is smaller than the sum of its proper divisors (117448320).

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

41648640 is a wasteful number, since it uses less digits than its factorization.

41648640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 41648640 is about 6453.5757530225. The cubic root of 41648640 is about 346.6306339932.

The spelling of 41648640 in words is "forty-one million, six hundred forty-eight thousand, six hundred forty".