41620800 has 336 divisors, whose sum is σ = 158739840. Its totient is φ = 9461760.

The previous prime is 41620793. The next prime is 41620801. The reversal of 41620800 is 802614.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41620801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1435186 + ... + 1435214.

It is an arithmetic number, because the mean of its divisors is an integer number (472440).

Almost surely, 2^41620800 is an apocalyptic number.

41620800 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 41620800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79369920).

41620800 is an abundant number, since it is smaller than the sum of its proper divisors (117119040).

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

41620800 is a wasteful number, since it uses less digits than its factorization.

41620800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 75 counting only the distinct ones).

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

The square root of 41620800 is about 6451.4184486824. The cubic root of 41620800 is about 346.5533817878.

The spelling of 41620800 in words is "forty-one million, six hundred twenty thousand, eight hundred".