40905216 has 160 divisors (see below), whose sum is σ = 132580800. Its totient is φ = 12349440.

The previous prime is 40905211. The next prime is 40905217. The reversal of 40905216 is 61250904.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 40905216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40905211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151930 + ... + 152198.

It is an arithmetic number, because the mean of its divisors is an integer number (828630).

Almost surely, 2^40905216 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 40905216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66290400).

40905216 is an abundant number, since it is smaller than the sum of its proper divisors (91675584).

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

40905216 is a wasteful number, since it uses less digits than its factorization.

40905216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 40905216 is about 6395.7185679171. The cubic root of 40905216 is about 344.5557988292. Note that the first 3 decimals are identical.

The spelling of 40905216 in words is "forty million, nine hundred five thousand, two hundred sixteen".