11839680 has 84 divisors (see below), whose sum is σ = 40733472. Its totient is φ = 3156480.

The previous prime is 11839669. The next prime is 11839691. The reversal of 11839680 is 8693811.

It is an interprime number because it is at equal distance from previous prime (11839669) and next prime (11839691).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 825 + ... + 4935.

Almost surely, 2^11839680 is an apocalyptic number.

11839680 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 11839680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20366736).

11839680 is an abundant number, since it is smaller than the sum of its proper divisors (28893792).

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

11839680 is a wasteful number, since it uses less digits than its factorization.

11839680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4134 (or 4121 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 11839680 is about 3440.8836074474. The cubic root of 11839680 is about 227.9187152534.

The spelling of 11839680 in words is "eleven million, eight hundred thirty-nine thousand, six hundred eighty".