40884768 has 36 divisors (see below), whose sum is σ = 116266878. Its totient is φ = 13628160.

The previous prime is 40884761. The next prime is 40884829. The reversal of 40884768 is 86748804.

40884768 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 only one way, i.e., 37601424 + 3283344 = 6132^2 + 1812^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (40884761) 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 5 ways as a sum of consecutive naturals, for example, 70693 + ... + 71268.

Almost surely, 2^40884768 is an apocalyptic number.

40884768 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

40884768 is an abundant number, since it is smaller than the sum of its proper divisors (75382110).

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

40884768 is a wasteful number, since it uses less digits than its factorization.

40884768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141977 (or 141966 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 40884768 is about 6394.1197986900. The cubic root of 40884768 is about 344.4983762316.

It can be divided in two parts, 4088476 and 8, that added together give a square (4088484 = 2022²).

The spelling of 40884768 in words is "forty million, eight hundred eighty-four thousand, seven hundred sixty-eight".