11678472 has 64 divisors (see below), whose sum is σ = 34944000. Its totient is φ = 3592512.

The previous prime is 11678453. The next prime is 11678479. The reversal of 11678472 is 27487611.

11678472 is a `hidden beast` number, since 116 + 78 + 472 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (11678479) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 729 + ... + 4887.

It is an arithmetic number, because the mean of its divisors is an integer number (546000).

Almost surely, 2^11678472 is an apocalyptic number.

11678472 is a gapful number since it is divisible by the number (12) 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 11678472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17472000).

11678472 is an abundant number, since it is smaller than the sum of its proper divisors (23265528).

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

11678472 is a wasteful number, since it uses less digits than its factorization.

11678472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4187 (or 4177 counting only the distinct ones).

The product of its digits is 18816, while the sum is 36.

The square root of 11678472 is about 3417.3779422241. The cubic root of 11678472 is about 226.8795443390.

The spelling of 11678472 in words is "eleven million, six hundred seventy-eight thousand, four hundred seventy-two".