11948680 has 64 divisors (see below), whose sum is σ = 28123200. Its totient is φ = 4565760.

The previous prime is 11948653. The next prime is 11948687. The reversal of 11948680 is 8684911.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (11948687) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 143919 + ... + 144001.

It is an arithmetic number, because the mean of its divisors is an integer number (439425).

Almost surely, 2^11948680 is an apocalyptic number.

11948680 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 11948680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14061600).

11948680 is an abundant number, since it is smaller than the sum of its proper divisors (16174520).

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

11948680 is a wasteful number, since it uses less digits than its factorization.

11948680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 37.

The square root of 11948680 is about 3456.6862744542. The cubic root of 11948680 is about 228.6160113928.

The spelling of 11948680 in words is "eleven million, nine hundred forty-eight thousand, six hundred eighty".