40624920 has 240 divisors, whose sum is σ = 157304160. Its totient is φ = 9088128.

The previous prime is 40624919. The next prime is 40624943. The reversal of 40624920 is 2942604.

40624920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 14.

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 59 ways as a sum of consecutive naturals, for example, 864337 + ... + 864383.

It is an arithmetic number, because the mean of its divisors is an integer number (655434).

Almost surely, 2^40624920 is an apocalyptic number.

40624920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40624920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78652080).

40624920 is an abundant number, since it is smaller than the sum of its proper divisors (116679240).

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

40624920 is a wasteful number, since it uses less digits than its factorization.

40624920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 40624920 is about 6373.7681162716. The cubic root of 40624920 is about 343.7669911161.

The spelling of 40624920 in words is "forty million, six hundred twenty-four thousand, nine hundred twenty".