11685456 has 60 divisors (see below), whose sum is σ = 34432320. Its totient is φ = 3689280.

The previous prime is 11685439. The next prime is 11685461. The reversal of 11685456 is 65458611.

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

It is a self number, because there is not a number n which added to its sum of digits gives 11685456.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 601 + ... + 4871.

It is an arithmetic number, because the mean of its divisors is an integer number (573872).

Almost surely, 2^11685456 is an apocalyptic number.

11685456 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 11685456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17216160).

11685456 is an abundant number, since it is smaller than the sum of its proper divisors (22746864).

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

11685456 is a wasteful number, since it uses less digits than its factorization.

11685456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4304 (or 4295 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The square root of 11685456 is about 3418.3996255558. The cubic root of 11685456 is about 226.9247617550.

The spelling of 11685456 in words is "eleven million, six hundred eighty-five thousand, four hundred fifty-six".