41630688 has 144 divisors (see below), whose sum is σ = 136923696. Its totient is φ = 11857920.

The previous prime is 41630681. The next prime is 41630711. The reversal of 41630688 is 88603614.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×41630688² = 3466228366706688, which contains 22 as substring.

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 (41630681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53470 + ... + 54242.

It is an arithmetic number, because the mean of its divisors is an integer number (950859).

Almost surely, 2^41630688 is an apocalyptic number.

41630688 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 41630688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68461848).

41630688 is an abundant number, since it is smaller than the sum of its proper divisors (95293008).

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

41630688 is a wasteful number, since it uses less digits than its factorization.

41630688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 817 (or 806 counting only the distinct ones).

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

The square root of 41630688 is about 6452.1847462701. The cubic root of 41630688 is about 346.5808235838.

The spelling of 41630688 in words is "forty-one million, six hundred thirty thousand, six hundred eighty-eight".