40824648 has 60 divisors (see below), whose sum is σ = 114804195. Its totient is φ = 13554000.

The previous prime is 40824647. The next prime is 40824661. The reversal of 40824648 is 84642804.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

40824648 is a `hidden beast` number, since 4 + 0 + 8 + 2 + 4 + 648 = 666.

It can be written as a sum of positive squares in only one way, i.e., 20412324 + 20412324 = 4518^2 + 4518^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=4518.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (40824647) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 162523 + ... + 162773.

Almost surely, 2^40824648 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 40824648

40824648 is an abundant number, since it is smaller than the sum of its proper divisors (73979547).

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

40824648 is an equidigital number, since it uses as much as digits as its factorization.

40824648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 40824648 is about 6389.4168748016. The cubic root of 40824648 is about 344.3294347286.

The spelling of 40824648 in words is "forty million, eight hundred twenty-four thousand, six hundred forty-eight".