11364768 has 36 divisors (see below), whose sum is σ = 32319378. Its totient is φ = 3788160.

The previous prime is 11364739. The next prime is 11364853. The reversal of 11364768 is 86746311.

11364768 is a `hidden beast` number, since 1 + 1 + 3 + 647 + 6 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10419984 + 944784 = 3228^2 + 972^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (36).

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 5 ways as a sum of consecutive naturals, for example, 19443 + ... + 20018.

Almost surely, 2^11364768 is an apocalyptic number.

11364768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

11364768 is an abundant number, since it is smaller than the sum of its proper divisors (20954610).

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

11364768 is a wasteful number, since it uses less digits than its factorization.

11364768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39477 (or 39466 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 11364768 is about 3371.1671569354. The cubic root of 11364768 is about 224.8296191601.

The spelling of 11364768 in words is "eleven million, three hundred sixty-four thousand, seven hundred sixty-eight".