11876280 has 128 divisors (see below), whose sum is σ = 40158720. Its totient is φ = 2787840.

The previous prime is 11876279. The next prime is 11876309. The reversal of 11876280 is 8267811.

It is a happy number.

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, 35715 + ... + 36045.

It is an arithmetic number, because the mean of its divisors is an integer number (313740).

Almost surely, 2^11876280 is an apocalyptic number.

11876280 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 11876280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20079360).

11876280 is an abundant number, since it is smaller than the sum of its proper divisors (28282440).

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

11876280 is a wasteful number, since it uses less digits than its factorization.

11876280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 33.

The square root of 11876280 is about 3446.1979049381. The cubic root of 11876280 is about 228.1533286894.

The spelling of 11876280 in words is "eleven million, eight hundred seventy-six thousand, two hundred eighty".