41686920 has 256 divisors, whose sum is σ = 158112000. Its totient is φ = 9757440.

The previous prime is 41686903. The next prime is 41686927. The reversal of 41686920 is 2968614.

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 (41686927) 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, 1437466 + ... + 1437494.

It is an arithmetic number, because the mean of its divisors is an integer number (617625).

Almost surely, 2^41686920 is an apocalyptic number.

41686920 is a gapful number since it is divisible by the number (40) 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 41686920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79056000).

41686920 is an abundant number, since it is smaller than the sum of its proper divisors (116425080).

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

41686920 is a wasteful number, since it uses less digits than its factorization.

41686920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 41686920 is about 6456.5408695369. The cubic root of 41686920 is about 346.7367995845.

The spelling of 41686920 in words is "forty-one million, six hundred eighty-six thousand, nine hundred twenty".