11629696 has 64 divisors (see below), whose sum is σ = 25918200. Its totient is φ = 5160960.

The previous prime is 11629693. The next prime is 11629699. The reversal of 11629696 is 69692611.

It is an interprime number because it is at equal distance from previous prime (11629693) and next prime (11629699).

It can be written as a sum of positive squares in 4 ways, for example, as 9486400 + 2143296 = 3080^2 + 1464^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (11629693) 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, 48136 + ... + 48376.

Almost surely, 2^11629696 is an apocalyptic number.

11629696 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 11629696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12959100).

11629696 is an abundant number, since it is smaller than the sum of its proper divisors (14288504).

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

11629696 is a wasteful number, since it uses less digits than its factorization.

11629696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 285 counting only the distinct ones).

The product of its digits is 34992, while the sum is 40.

The square root of 11629696 is about 3410.2340095659. The cubic root of 11629696 is about 226.5632438596.

It can be divided in two parts, 116 and 29696, that multiplied together give a square (3444736 = 1856²).

The spelling of 11629696 in words is "eleven million, six hundred twenty-nine thousand, six hundred ninety-six".