40608624 has 80 divisors (see below), whose sum is σ = 126222080. Its totient is φ = 10990080.

The previous prime is 40608619. The next prime is 40608629. The reversal of 40608624 is 42680604.

40608624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (40608619) and next prime (40608629).

It is a junction number, because it is equal to n+sod(n) for n = 40608591 and 40608600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40608629) 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 15 ways as a sum of consecutive naturals, for example, 3204 + ... + 9564.

It is an arithmetic number, because the mean of its divisors is an integer number (1577776).

Almost surely, 2^40608624 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 40608624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63111040).

40608624 is an abundant number, since it is smaller than the sum of its proper divisors (85613456).

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

40608624 is a wasteful number, since it uses less digits than its factorization.

40608624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6398 (or 6392 counting only the distinct ones).

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

The square root of 40608624 is about 6372.4896233733. The cubic root of 40608624 is about 343.7210195293.

The spelling of 40608624 in words is "forty million, six hundred eight thousand, six hundred twenty-four".