41799648 has 96 divisors (see below), whose sum is σ = 124975872. Its totient is φ = 12108800.

The previous prime is 41799629. The next prime is 41799649. The reversal of 41799648 is 84699714.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 41799597 and 41799606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41799649) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23428 + ... + 25148.

It is an arithmetic number, because the mean of its divisors is an integer number (1301832).

Almost surely, 2^41799648 is an apocalyptic number.

41799648 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 41799648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62487936).

41799648 is an abundant number, since it is smaller than the sum of its proper divisors (83176224).

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

41799648 is a wasteful number, since it uses less digits than its factorization.

41799648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1768 (or 1760 counting only the distinct ones).

The product of its digits is 435456, while the sum is 48.

The square root of 41799648 is about 6465.2647277586. The cubic root of 41799648 is about 347.0490619309.

The spelling of 41799648 in words is "forty-one million, seven hundred ninety-nine thousand, six hundred forty-eight".