41577648 has 160 divisors (see below), whose sum is σ = 134991360. Its totient is φ = 10752000.

The previous prime is 41577647. The next prime is 41577659. The reversal of 41577648 is 84677514.

41577648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (41577647) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 165523 + ... + 165773.

It is an arithmetic number, because the mean of its divisors is an integer number (843696).

Almost surely, 2^41577648 is an apocalyptic number.

41577648 is a gapful number since it is divisible by the number (48) 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 41577648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67495680).

41577648 is an abundant number, since it is smaller than the sum of its proper divisors (93413712).

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

41577648 is a wasteful number, since it uses less digits than its factorization.

41577648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 309 counting only the distinct ones).

The product of its digits is 188160, while the sum is 42.

The square root of 41577648 is about 6448.0732005771. The cubic root of 41577648 is about 346.4335727603.

The spelling of 41577648 in words is "forty-one million, five hundred seventy-seven thousand, six hundred forty-eight".