11531936 has 48 divisors (see below), whose sum is σ = 25754400. Its totient is φ = 5038848.

The previous prime is 11531921. The next prime is 11531939. The reversal of 11531936 is 63913511.

It is a junction number, because it is equal to n+sod(n) for n = 11531899 and 11531908.

It is not an unprimeable number, because it can be changed into a prime (11531939) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7175 + ... + 8633.

It is an arithmetic number, because the mean of its divisors is an integer number (536550).

Almost surely, 2^11531936 is an apocalyptic number.

11531936 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 11531936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12877200).

11531936 is an abundant number, since it is smaller than the sum of its proper divisors (14222464).

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

11531936 is a wasteful number, since it uses less digits than its factorization.

11531936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1501 (or 1493 counting only the distinct ones).

The product of its digits is 2430, while the sum is 29.

The square root of 11531936 is about 3395.8704333352. The cubic root of 11531936 is about 225.9266214384.

The spelling of 11531936 in words is "eleven million, five hundred thirty-one thousand, nine hundred thirty-six".