40635648 has 72 divisors (see below), whose sum is σ = 120187200. Its totient is φ = 13542912.

The previous prime is 40635631. The next prime is 40635649. The reversal of 40635648 is 84653604.

40635648 is a `hidden beast` number, since 4 + 0 + 6 + 3 + 5 + 648 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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 (40635649) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3973 + ... + 9851.

Almost surely, 2^40635648 is an apocalyptic number.

40635648 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 40635648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60093600).

40635648 is an abundant number, since it is smaller than the sum of its proper divisors (79551552).

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

40635648 is an equidigital number, since it uses as much as digits as its factorization.

40635648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5904 (or 5884 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 40635648 is about 6374.6096351071. The cubic root of 40635648 is about 343.7972484696.

The spelling of 40635648 in words is "forty million, six hundred thirty-five thousand, six hundred forty-eight".