11649536 has 40 divisors (see below), whose sum is σ = 23721324. Its totient is φ = 5713920.

The previous prime is 11649529. The next prime is 11649551. The reversal of 11649536 is 63594611.

It can be written as a sum of positive squares in 2 ways, for example, as 10758400 + 891136 = 3280^2 + 944^2 .

It is a junction number, because it is equal to n+sod(n) for n = 11649496 and 11649505.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 31046 + ... + 31418.

Almost surely, 2^11649536 is an apocalyptic number.

11649536 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 11649536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11860662).

11649536 is an abundant number, since it is smaller than the sum of its proper divisors (12071788).

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

11649536 is an frugal number, since it uses more digits than its factorization.

11649536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 436 counting only the distinct ones).

The product of its digits is 19440, while the sum is 35.

The square root of 11649536 is about 3413.1416612851. The cubic root of 11649536 is about 226.6920079318.

The spelling of 11649536 in words is "eleven million, six hundred forty-nine thousand, five hundred thirty-six".