11909680 has 40 divisors (see below), whose sum is σ = 28373184. Its totient is φ = 4646400.

The previous prime is 11909657. The next prime is 11909693. The reversal of 11909680 is 8690911.

11909680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1465 + ... + 5095.

Almost surely, 2^11909680 is an apocalyptic number.

11909680 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 11909680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14186592).

11909680 is an abundant number, since it is smaller than the sum of its proper divisors (16463504).

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

11909680 is a wasteful number, since it uses less digits than its factorization.

11909680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3685 (or 3679 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 34.

The square root of 11909680 is about 3451.0404228290. The cubic root of 11909680 is about 228.3670091994.

The spelling of 11909680 in words is "eleven million, nine hundred nine thousand, six hundred eighty".