41196768 has 96 divisors (see below), whose sum is σ = 113541120. Its totient is φ = 13063680.

The previous prime is 41196767. The next prime is 41196787. The reversal of 41196768 is 86769114.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41196761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 324321 + ... + 324447.

It is an arithmetic number, because the mean of its divisors is an integer number (1182720).

Almost surely, 2^41196768 is an apocalyptic number.

41196768 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 41196768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56770560).

41196768 is an abundant number, since it is smaller than the sum of its proper divisors (72344352).

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

41196768 is a wasteful number, since it uses less digits than its factorization.

41196768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 272 counting only the distinct ones).

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

The square root of 41196768 is about 6418.4708459258. The cubic root of 41196768 is about 345.3724689758.

It can be divided in two parts, 411 and 96768, that added together give a palindrome (97179).

The spelling of 41196768 in words is "forty-one million, one hundred ninety-six thousand, seven hundred sixty-eight".