11516724 has 36 divisors (see below), whose sum is σ = 29257956. Its totient is φ = 3819648.

The previous prime is 11516723. The next prime is 11516749. The reversal of 11516724 is 42761511.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 7784100 + 3732624 = 2790^2 + 1932^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11516723) 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, 7702 + ... + 9074.

It is an arithmetic number, because the mean of its divisors is an integer number (812721).

Almost surely, 2^11516724 is an apocalyptic number.

It is an amenable number.

11516724 is an abundant number, since it is smaller than the sum of its proper divisors (17741232).

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

11516724 is a wasteful number, since it uses less digits than its factorization.

11516724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1616 (or 1611 counting only the distinct ones).

The product of its digits is 1680, while the sum is 27.

The square root of 11516724 is about 3393.6299150025. The cubic root of 11516724 is about 225.8272363321.

It can be divided in two parts, 1151 and 6724, that added together give a triangular number (7875 = T₁₂₅).

The spelling of 11516724 in words is "eleven million, five hundred sixteen thousand, seven hundred twenty-four".