41460768 has 96 divisors (see below), whose sum is σ = 123621120. Its totient is φ = 13512960.

The previous prime is 41460767. The next prime is 41460779. The reversal of 41460768 is 86706414.

41460768 is a `hidden beast` number, since 41 + 4 + 607 + 6 + 8 = 666.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41460761) 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, 40098 + ... + 41118.

It is an arithmetic number, because the mean of its divisors is an integer number (1287720).

Almost surely, 2^41460768 is an apocalyptic number.

41460768 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 41460768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61810560).

41460768 is an abundant number, since it is smaller than the sum of its proper divisors (82160352).

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

41460768 is a wasteful number, since it uses less digits than its factorization.

41460768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1087 (or 1073 counting only the distinct ones).

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

The square root of 41460768 is about 6439.0036496340. The cubic root of 41460768 is about 346.1086453116.

The spelling of 41460768 in words is "forty-one million, four hundred sixty thousand, seven hundred sixty-eight".