11677776 has 80 divisors (see below), whose sum is σ = 34872768. Its totient is φ = 3328000.

The previous prime is 11677769. The next prime is 11677789. The reversal of 11677776 is 67777611.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8326 + ... + 9626.

Almost surely, 2^11677776 is an apocalyptic number.

11677776 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 11677776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17436384).

11677776 is an abundant number, since it is smaller than the sum of its proper divisors (23194992).

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

11677776 is a wasteful number, since it uses less digits than its factorization.

11677776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1340 (or 1334 counting only the distinct ones).

The product of its digits is 86436, while the sum is 42.

The square root of 11677776 is about 3417.2761082476. The cubic root of 11677776 is about 226.8750371483.

The spelling of 11677776 in words is "eleven million, six hundred seventy-seven thousand, seven hundred seventy-six".