11878580 has 144 divisors (see below), whose sum is σ = 33094656. Its totient is φ = 3548160.

The previous prime is 11878579. The next prime is 11878583. The reversal of 11878580 is 8587811.

It is a super-2 number, since 2×11878580² = 282201325632800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11878583) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 383165 + ... + 383195.

It is an arithmetic number, because the mean of its divisors is an integer number (229824).

Almost surely, 2^11878580 is an apocalyptic number.

11878580 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 11878580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16547328).

11878580 is an abundant number, since it is smaller than the sum of its proper divisors (21216076).

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

11878580 is a wasteful number, since it uses less digits than its factorization.

11878580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 38.

The square root of 11878580 is about 3446.5315898741. The cubic root of 11878580 is about 228.1680560503.

The spelling of 11878580 in words is "eleven million, eight hundred seventy-eight thousand, five hundred eighty".