41064768 has 42 divisors (see below), whose sum is σ = 117706394. Its totient is φ = 13688064.

The previous prime is 41064721. The next prime is 41064787. The reversal of 41064768 is 86746014.

41064768 is a `hidden beast` number, since 4 + 1 + 0 + 647 + 6 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 41062464 + 2304 = 6408^2 + 48^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 35071 + ... + 36222.

Almost surely, 2^41064768 is an apocalyptic number.

41064768 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

41064768 is an abundant number, since it is smaller than the sum of its proper divisors (76641626).

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

41064768 is a wasteful number, since it uses less digits than its factorization.

41064768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71311 (or 71298 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 41064768 is about 6408.1797727592. The cubic root of 41064768 is about 345.0032009785.

The spelling of 41064768 in words is "forty-one million, sixty-four thousand, seven hundred sixty-eight".