41665000 has 80 divisors (see below), whose sum is σ = 105294420. Its totient is φ = 15360000.

The previous prime is 41664989. The next prime is 41665007. The reversal of 41665000 is 56614.

It can be written as a sum of positive squares in 10 ways, for example, as 2452356 + 39212644 = 1566^2 + 6262^2 .

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41665007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 64680 + ... + 65320.

Almost surely, 2^41665000 is an apocalyptic number.

41665000 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 41665000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52647210).

41665000 is an abundant number, since it is smaller than the sum of its proper divisors (63629420).

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

41665000 is a wasteful number, since it uses less digits than its factorization.

41665000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 680 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 41665000 is about 6454.8431429431. The cubic root of 41665000 is about 346.6760147052.

It can be divided in two parts, 416 and 65000, that multiplied together give a square (27040000 = 5200²).

The spelling of 41665000 in words is "forty-one million, six hundred sixty-five thousand".