40516 has 12 divisors (see below), whose sum is σ = 81088. Its totient is φ = 17352.

The previous prime is 40507. The next prime is 40519. The reversal of 40516 is 61504.

40516 = 29² + 30² + ... + 52².

40516 is an admirable number.

It is a self number, because there is not a number n which added to its sum of digits gives 40516.

It is not an unprimeable number, because it can be changed into a prime (40519) 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 3 ways as a sum of consecutive naturals, for example, 696 + ... + 751.

2⁴⁰⁵¹⁶ is an apocalyptic number.

It is an amenable number.

40516 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40544).

40516 is a wasteful number, since it uses less digits than its factorization.

40516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1458 (or 1456 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 40516 is about 201.2858663692. The cubic root of 40516 is about 34.3459490091.

The spelling of 40516 in words is "forty thousand, five hundred sixteen".