40006824 has 64 divisors (see below), whose sum is σ = 117512640. Its totient is φ = 11189760.

The previous prime is 40006819. The next prime is 40006829. The reversal of 40006824 is 42860004.

It is an interprime number because it is at equal distance from previous prime (40006819) and next prime (40006829).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 40006794 and 40006803.

It is not an unprimeable number, because it can be changed into a prime (40006829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2397 + ... + 9260.

It is an arithmetic number, because the mean of its divisors is an integer number (1836135).

Almost surely, 2^40006824 is an apocalyptic number.

40006824 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

40006824 is an abundant number, since it is smaller than the sum of its proper divisors (77505816).

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

40006824 is a wasteful number, since it uses less digits than its factorization.

40006824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11690 (or 11686 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 40006824 is about 6325.0947818985. The cubic root of 40006824 is about 342.0146363559.

Adding to 40006824 its reverse (42860004), we get a palindrome (82866828).

The spelling of 40006824 in words is "forty million, six thousand, eight hundred twenty-four".