11739936 has 96 divisors (see below), whose sum is σ = 34715520. Its totient is φ = 3446784.

The previous prime is 11739907. The next prime is 11739971. The reversal of 11739936 is 63993711.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 11739894 and 11739903.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28500 + ... + 28908.

It is an arithmetic number, because the mean of its divisors is an integer number (361620).

Almost surely, 2^11739936 is an apocalyptic number.

11739936 is a gapful number since it is divisible by the number (16) 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 11739936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17357760).

11739936 is an abundant number, since it is smaller than the sum of its proper divisors (22975584).

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

11739936 is a wasteful number, since it uses less digits than its factorization.

11739936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 450 counting only the distinct ones).

The product of its digits is 30618, while the sum is 39.

The square root of 11739936 is about 3426.3590004551. The cubic root of 11739936 is about 227.2768717596.

The spelling of 11739936 in words is "eleven million, seven hundred thirty-nine thousand, nine hundred thirty-six".