41820600 has 96 divisors (see below), whose sum is σ = 132491520. Its totient is φ = 10907520.

The previous prime is 41820599. The next prime is 41820613. The reversal of 41820600 is 602814.

41820600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 27459 + ... + 28941.

It is an arithmetic number, because the mean of its divisors is an integer number (1380120).

Almost surely, 2^41820600 is an apocalyptic number.

41820600 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 41820600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66245760).

41820600 is an abundant number, since it is smaller than the sum of its proper divisors (90670920).

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

41820600 is a wasteful number, since it uses less digits than its factorization.

41820600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1549 (or 1540 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 41820600 is about 6466.8848760435. The cubic root of 41820600 is about 347.1070381557.

The spelling of 41820600 in words is "forty-one million, eight hundred twenty thousand, six hundred".