11306736 has 80 divisors (see below), whose sum is σ = 37100800. Its totient is φ = 3229632.

The previous prime is 11306681. The next prime is 11306753. The reversal of 11306736 is 63760311.

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

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 15 ways as a sum of consecutive naturals, for example, 1155 + ... + 4893.

It is an arithmetic number, because the mean of its divisors is an integer number (463760).

Almost surely, 2^11306736 is an apocalyptic number.

11306736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11306736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18550400).

11306736 is an abundant number, since it is smaller than the sum of its proper divisors (25794064).

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

11306736 is a wasteful number, since it uses less digits than its factorization.

11306736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3763 (or 3751 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 11306736 is about 3362.5490330997. The cubic root of 11306736 is about 224.4462828839.

The spelling of 11306736 in words is "eleven million, three hundred six thousand, seven hundred thirty-six".