11839520 has 144 divisors (see below), whose sum is σ = 36033984. Its totient is φ = 3571200.

The previous prime is 11839507. The next prime is 11839537. The reversal of 11839520 is 2593811.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 381905 + ... + 381935.

It is an arithmetic number, because the mean of its divisors is an integer number (250236).

Almost surely, 2^11839520 is an apocalyptic number.

11839520 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 11839520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18016992).

11839520 is an abundant number, since it is smaller than the sum of its proper divisors (24194464).

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

11839520 is a wasteful number, since it uses less digits than its factorization.

11839520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 29.

The square root of 11839520 is about 3440.8603575269. The cubic root of 11839520 is about 227.9176885602.

The spelling of 11839520 in words is "eleven million, eight hundred thirty-nine thousand, five hundred twenty".