11478768 has 80 divisors (see below), whose sum is σ = 34283520. Its totient is φ = 3241728.

The previous prime is 11478767. The next prime is 11478781. The reversal of 11478768 is 86787411.

It is a happy number.

It is a super-2 number, since 2×11478768² = 263524229595648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11478767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42538 + ... + 42806.

It is an arithmetic number, because the mean of its divisors is an integer number (428544).

Almost surely, 2^11478768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11478768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17141760).

11478768 is an abundant number, since it is smaller than the sum of its proper divisors (22804752).

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

11478768 is a wasteful number, since it uses less digits than its factorization.

11478768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 408 counting only the distinct ones).

The product of its digits is 75264, while the sum is 42.

The square root of 11478768 is about 3388.0330576900. The cubic root of 11478768 is about 225.5788748390.

It can be divided in two parts, 11478 and 768, that added together give a triangular number (12246 = T₁₅₆).

The spelling of 11478768 in words is "eleven million, four hundred seventy-eight thousand, seven hundred sixty-eight".