41617968 has 40 divisors (see below), whose sum is σ = 122873088. Its totient is φ = 11890752.

The previous prime is 41617963. The next prime is 41617981. The reversal of 41617968 is 86971614.

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 (41617963) 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 7 ways as a sum of consecutive naturals, for example, 61596 + ... + 62267.

Almost surely, 2^41617968 is an apocalyptic number.

41617968 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

41617968 is an abundant number, since it is smaller than the sum of its proper divisors (81255120).

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

41617968 is a wasteful number, since it uses less digits than its factorization.

41617968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123881 (or 123875 counting only the distinct ones).

The product of its digits is 72576, while the sum is 42.

The square root of 41617968 is about 6451.1989583332. The cubic root of 41617968 is about 346.5455214437.

The spelling of 41617968 in words is "forty-one million, six hundred seventeen thousand, nine hundred sixty-eight".