40206816 has 72 divisors (see below), whose sum is σ = 123144840. Its totient is φ = 12370176.

The previous prime is 40206811. The next prime is 40206851. The reversal of 40206816 is 61860204.

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 40206816.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40206811) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1626 + ... + 9113.

It is an arithmetic number, because the mean of its divisors is an integer number (1710345).

Almost surely, 2^40206816 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 40206816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61572420).

40206816 is an abundant number, since it is smaller than the sum of its proper divisors (82938024).

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

40206816 is a wasteful number, since it uses less digits than its factorization.

40206816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10768 (or 10757 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 40206816 is about 6340.8844808907. The cubic root of 40206816 is about 342.5835937112.

The spelling of 40206816 in words is "forty million, two hundred six thousand, eight hundred sixteen".