11652896 has 36 divisors (see below), whose sum is σ = 23814882. Its totient is φ = 5612544.

The previous prime is 11652889. The next prime is 11652911. The reversal of 11652896 is 69825611.

It can be written as a sum of positive squares in 3 ways, for example, as 8042896 + 3610000 = 2836^2 + 1900^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 26696 + ... + 27128.

Almost surely, 2^11652896 is an apocalyptic number.

11652896 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 11652896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11907441).

11652896 is an abundant number, since it is smaller than the sum of its proper divisors (12161986).

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

11652896 is an equidigital number, since it uses as much as digits as its factorization.

11652896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 464 counting only the distinct ones).

The product of its digits is 25920, while the sum is 38.

The square root of 11652896 is about 3413.6338409384. The cubic root of 11652896 is about 226.7138002713.

The spelling of 11652896 in words is "eleven million, six hundred fifty-two thousand, eight hundred ninety-six".