41696672 has 48 divisors (see below), whose sum is σ = 85635144. Its totient is φ = 19968000.

The previous prime is 41696663. The next prime is 41696689. The reversal of 41696672 is 27669614.

41696672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 9024016 + 32672656 = 3004^2 + 5716^2 .

It is a super-2 number, since 2×41696672² = 3477224911751168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 79772 + ... + 80292.

Almost surely, 2^41696672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41696672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42817572).

41696672 is an abundant number, since it is smaller than the sum of its proper divisors (43938472).

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

41696672 is a wasteful number, since it uses less digits than its factorization.

41696672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633 (or 625 counting only the distinct ones).

The product of its digits is 108864, while the sum is 41.

The square root of 41696672 is about 6457.2960285246. The cubic root of 41696672 is about 346.7638353520.

The spelling of 41696672 in words is "forty-one million, six hundred ninety-six thousand, six hundred seventy-two".