40668024 has 64 divisors (see below), whose sum is σ = 105114240. Its totient is φ = 13104000.

The previous prime is 40667993. The next prime is 40668059. The reversal of 40668024 is 42086604.

40668024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a plaindrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 40667982 and 40668000.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 161899 + ... + 162149.

It is an arithmetic number, because the mean of its divisors is an integer number (1642410).

Almost surely, 2^40668024 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 40668024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52557120).

40668024 is an abundant number, since it is smaller than the sum of its proper divisors (64446216).

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

40668024 is a wasteful number, since it uses less digits than its factorization.

40668024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 40668024 is about 6377.1485791065. The cubic root of 40668024 is about 343.8885297744. Note that the first 3 decimals are identical.

It can be divided in two parts, 4066 and 8024, that added together give a triangular number (12090 = T₁₅₅).

The spelling of 40668024 in words is "forty million, six hundred sixty-eight thousand, twenty-four".