41461686 has 128 divisors (see below), whose sum is σ = 116121600. Its totient is φ = 10692000.

The previous prime is 41461681. The next prime is 41461727. The reversal of 41461686 is 68616414.

It is a self number, because there is not a number n which added to its sum of digits gives 41461686.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41461681) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 165061 + ... + 165311.

It is an arithmetic number, because the mean of its divisors is an integer number (907200).

Almost surely, 2^41461686 is an apocalyptic number.

41461686 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 41461686, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58060800).

41461686 is an abundant number, since it is smaller than the sum of its proper divisors (74659914).

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

41461686 is a wasteful number, since it uses less digits than its factorization.

41461686 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 305 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 41461686 is about 6439.0749335599. The cubic root of 41461686 is about 346.1111997376. Note that the first 4 decimals are identical.

It can be divided in two parts, 4146 and 1686, that added together give a cube (5832 = 18³).

The spelling of 41461686 in words is "forty-one million, four hundred sixty-one thousand, six hundred eighty-six".