11977856 has 64 divisors (see below), whose sum is σ = 26732160. Its totient is φ = 5299200.

The previous prime is 11977829. The next prime is 11977859. The reversal of 11977856 is 65877911.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (11977859) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66086 + ... + 66266.

It is an arithmetic number, because the mean of its divisors is an integer number (417690).

Almost surely, 2^11977856 is an apocalyptic number.

11977856 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 11977856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13366080).

11977856 is an abundant number, since it is smaller than the sum of its proper divisors (14754304).

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

11977856 is a wasteful number, since it uses less digits than its factorization.

11977856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 241 counting only the distinct ones).

The product of its digits is 105840, while the sum is 44.

The square root of 11977856 is about 3460.9039281667. The cubic root of 11977856 is about 228.8019365086.

The spelling of 11977856 in words is "eleven million, nine hundred seventy-seven thousand, eight hundred fifty-six".