11678496 has 48 divisors (see below), whose sum is σ = 30844800. Its totient is φ = 3868928.

The previous prime is 11678489. The next prime is 11678501. The reversal of 11678496 is 69487611.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22690 + ... + 23198.

It is an arithmetic number, because the mean of its divisors is an integer number (642600).

Almost surely, 2^11678496 is an apocalyptic number.

11678496 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 11678496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15422400).

11678496 is an abundant number, since it is smaller than the sum of its proper divisors (19166304).

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

11678496 is a wasteful number, since it uses less digits than its factorization.

11678496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 761 (or 753 counting only the distinct ones).

The product of its digits is 72576, while the sum is 42.

The square root of 11678496 is about 3417.3814536864. The cubic root of 11678496 is about 226.8796997562.

The spelling of 11678496 in words is "eleven million, six hundred seventy-eight thousand, four hundred ninety-six".