11329696 has 48 divisors (see below), whose sum is σ = 26199936. Its totient is φ = 4720896.

The previous prime is 11329693. The next prime is 11329699. The reversal of 11329696 is 69692311.

It is an interprime number because it is at equal distance from previous prime (11329693) and next prime (11329699).

It is a super-2 number, since 2×11329696² = 256724022904832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is not an unprimeable number, because it can be changed into a prime (11329693) 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, 7605 + ... + 8971.

It is an arithmetic number, because the mean of its divisors is an integer number (545832).

Almost surely, 2^11329696 is an apocalyptic number.

11329696 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 11329696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13099968).

11329696 is an abundant number, since it is smaller than the sum of its proper divisors (14870240).

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

11329696 is a wasteful number, since it uses less digits than its factorization.

11329696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1421 (or 1413 counting only the distinct ones).

The product of its digits is 17496, while the sum is 37.

The square root of 11329696 is about 3365.9613782692. The cubic root of 11329696 is about 224.5981039580.

The spelling of 11329696 in words is "eleven million, three hundred twenty-nine thousand, six hundred ninety-six".