11551936 has 56 divisors (see below), whose sum is σ = 25511760. Its totient is φ = 5145600.

The previous prime is 11551931. The next prime is 11551937. The reversal of 11551936 is 63915511.

It is a junction number, because it is equal to n+sod(n) for n = 11551898 and 11551907.

It is not an unprimeable number, because it can be changed into a prime (11551931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42810 + ... + 43078.

Almost surely, 2^11551936 is an apocalyptic number.

11551936 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 11551936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12755880).

11551936 is an abundant number, since it is smaller than the sum of its proper divisors (13959824).

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

11551936 is a wasteful number, since it uses less digits than its factorization.

11551936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 343 counting only the distinct ones).

The product of its digits is 4050, while the sum is 31.

The square root of 11551936 is about 3398.8139107636. The cubic root of 11551936 is about 226.0571552521.

It can be divided in two parts, 11 and 551936, that multiplied together give a square (6071296 = 2464²).

The spelling of 11551936 in words is "eleven million, five hundred fifty-one thousand, nine hundred thirty-six".