11876880 has 160 divisors (see below), whose sum is σ = 40497408. Its totient is φ = 2867200.

The previous prime is 11876869. The next prime is 11876903. The reversal of 11876880 is 8867811.

11876880 is nontrivially palindromic in base 13.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 167245 + ... + 167315.

Almost surely, 2^11876880 is an apocalyptic number.

11876880 is a gapful number since it is divisible by the number (10) 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 11876880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20248704).

11876880 is an abundant number, since it is smaller than the sum of its proper divisors (28620528).

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

11876880 is a wasteful number, since it uses less digits than its factorization.

11876880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 39.

The square root of 11876880 is about 3446.2849562971. The cubic root of 11876880 is about 228.1571707929.

The spelling of 11876880 in words is "eleven million, eight hundred seventy-six thousand, eight hundred eighty".