41634720 has 144 divisors (see below), whose sum is σ = 147125160. Its totient is φ = 10708992.

The previous prime is 41634713. The next prime is 41634727. The reversal of 41634720 is 2743614.

41634720 is a `hidden beast` number, since 4 + 1 + 634 + 7 + 20 = 666.

41634720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (41634713) and next prime (41634727).

It can be written as a sum of positive squares in 4 ways, for example, as 39087504 + 2547216 = 6252^2 + 1596^2 .

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

It is not an unprimeable number, because it can be changed into a prime (41634727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41262 + ... + 42258.

Almost surely, 2^41634720 is an apocalyptic number.

41634720 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 41634720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73562580).

41634720 is an abundant number, since it is smaller than the sum of its proper divisors (105490440).

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

41634720 is a wasteful number, since it uses less digits than its factorization.

41634720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1047 (or 1036 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 41634720 is about 6452.4971910106. The cubic root of 41634720 is about 346.5920121952.

The spelling of 41634720 in words is "forty-one million, six hundred thirty-four thousand, seven hundred twenty".