40827168 has 36 divisors (see below), whose sum is σ = 116103078. Its totient is φ = 13608960.

The previous prime is 40827151. The next prime is 40827173. The reversal of 40827168 is 86172804.

40827168 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., 38787984 + 2039184 = 6228^2 + 1428^2 .

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

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

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 5 ways as a sum of consecutive naturals, for example, 70593 + ... + 71168.

Almost surely, 2^40827168 is an apocalyptic number.

40827168 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

40827168 is an abundant number, since it is smaller than the sum of its proper divisors (75275910).

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

40827168 is a wasteful number, since it uses less digits than its factorization.

40827168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141777 (or 141766 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 40827168 is about 6389.6140728529. The cubic root of 40827168 is about 344.3365194382.

The spelling of 40827168 in words is "forty million, eight hundred twenty-seven thousand, one hundred sixty-eight".