11506736 has 20 divisors (see below), whose sum is σ = 23064000. Its totient is φ = 5554752.

The previous prime is 11506709. The next prime is 11506751. The reversal of 11506736 is 63760511.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a junction number, because it is equal to n+sod(n) for n = 11506699 and 11506708.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11936 + ... + 12863.

It is an arithmetic number, because the mean of its divisors is an integer number (1153200).

Almost surely, 2^11506736 is an apocalyptic number.

11506736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11506736 is an abundant number, since it is smaller than the sum of its proper divisors (11557264).

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

11506736 is a wasteful number, since it uses less digits than its factorization.

11506736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24836 (or 24830 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 29.

The square root of 11506736 is about 3392.1580151874. The cubic root of 11506736 is about 225.7619337685.

The spelling of 11506736 in words is "eleven million, five hundred six thousand, seven hundred thirty-six".