11429664 has 48 divisors (see below), whose sum is σ = 30467808. Its totient is φ = 3750912.

The previous prime is 11429629. The next prime is 11429699. The reversal of 11429664 is 46692411.

It is an interprime number because it is at equal distance from previous prime (11429629) and next prime (11429699).

It is a tau number, because it is divible by the number of its divisors (48).

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 7 ways as a sum of consecutive naturals, for example, 5544 + ... + 7320.

It is an arithmetic number, because the mean of its divisors is an integer number (634746).

Almost surely, 2^11429664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11429664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15233904).

11429664 is an abundant number, since it is smaller than the sum of its proper divisors (19038144).

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

11429664 is a wasteful number, since it uses less digits than its factorization.

11429664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1857 (or 1849 counting only the distinct ones).

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

The square root of 11429664 is about 3380.7786085457. The cubic root of 11429664 is about 225.2567538132.

The spelling of 11429664 in words is "eleven million, four hundred twenty-nine thousand, six hundred sixty-four".