41802768 has 120 divisors (see below), whose sum is σ = 135253248. Its totient is φ = 11805696.

The previous prime is 41802767. The next prime is 41802769. The reversal of 41802768 is 86720814.

41802768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (41802767) and next prime (41802769).

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 (41802767) 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 23 ways as a sum of consecutive naturals, for example, 113721 + ... + 114087.

Almost surely, 2^41802768 is an apocalyptic number.

41802768 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 41802768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67626624).

41802768 is an abundant number, since it is smaller than the sum of its proper divisors (93450480).

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

41802768 is a wasteful number, since it uses less digits than its factorization.

41802768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 41802768 is about 6465.5060126799. The cubic root of 41802768 is about 347.0576965023.

The spelling of 41802768 in words is "forty-one million, eight hundred two thousand, seven hundred sixty-eight".