41605920 has 96 divisors (see below), whose sum is σ = 145635840. Its totient is φ = 11093760.

The previous prime is 41605909. The next prime is 41605931. The reversal of 41605920 is 2950614.

41605920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (41605909) and next prime (41605931).

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 (27).

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, 496 + ... + 9135.

It is an arithmetic number, because the mean of its divisors is an integer number (1517040).

Almost surely, 2^41605920 is an apocalyptic number.

41605920 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 41605920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72817920).

41605920 is an abundant number, since it is smaller than the sum of its proper divisors (104029920).

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

41605920 is a wasteful number, since it uses less digits than its factorization.

41605920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9655 (or 9641 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 41605920 is about 6450.2651108307. The cubic root of 41605920 is about 346.5120776885.

The spelling of 41605920 in words is "forty-one million, six hundred five thousand, nine hundred twenty".