11626944 has 112 divisors (see below), whose sum is σ = 36185856. Its totient is φ = 3225600.

The previous prime is 11626931. The next prime is 11626957. The reversal of 11626944 is 44962611.

11626944 = T₄₉₁ + T₄₉₂ + ... + T₅₇₂.

It is an interprime number because it is at equal distance from previous prime (11626931) and next prime (11626957).

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54999 + ... + 55209.

It is an arithmetic number, because the mean of its divisors is an integer number (323088).

Almost surely, 2^11626944 is an apocalyptic number.

11626944 is a gapful number since it is divisible by the number (14) 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 11626944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18092928).

11626944 is an abundant number, since it is smaller than the sum of its proper divisors (24558912).

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

11626944 is a wasteful number, since it uses less digits than its factorization.

11626944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 264 counting only the distinct ones).

The product of its digits is 10368, while the sum is 33.

The square root of 11626944 is about 3409.8304943208. The cubic root of 11626944 is about 226.5453714740.

The spelling of 11626944 in words is "eleven million, six hundred twenty-six thousand, nine hundred forty-four".