11626496 has 48 divisors (see below), whose sum is σ = 26601120. Its totient is φ = 4976640.

The previous prime is 11626471. The next prime is 11626501. The reversal of 11626496 is 69462611.

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, 13931 + ... + 14741.

It is an arithmetic number, because the mean of its divisors is an integer number (554190).

Almost surely, 2^11626496 is an apocalyptic number.

11626496 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 11626496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13300560).

11626496 is an abundant number, since it is smaller than the sum of its proper divisors (14974624).

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

11626496 is an frugal number, since it uses more digits than its factorization.

11626496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 840 (or 820 counting only the distinct ones).

The product of its digits is 15552, while the sum is 35.

The square root of 11626496 is about 3409.7648012730. The cubic root of 11626496 is about 226.5424617490.

The spelling of 11626496 in words is "eleven million, six hundred twenty-six thousand, four hundred ninety-six".