41147568 has 160 divisors (see below), whose sum is σ = 147371520. Its totient is φ = 10679040.

The previous prime is 41147543. The next prime is 41147569. The reversal of 41147568 is 86574114.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (41147569) 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, 32646 + ... + 33882.

It is an arithmetic number, because the mean of its divisors is an integer number (921072).

Almost surely, 2^41147568 is an apocalyptic number.

41147568 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 41147568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73685760).

41147568 is an abundant number, since it is smaller than the sum of its proper divisors (106223952).

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

41147568 is a wasteful number, since it uses less digits than its factorization.

41147568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1272 (or 1260 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 41147568 is about 6414.6370123336. The cubic root of 41147568 is about 345.2349250595.

The spelling of 41147568 in words is "forty-one million, one hundred forty-seven thousand, five hundred sixty-eight".