11297664 has 128 divisors (see below), whose sum is σ = 38188800. Its totient is φ = 3220992.

The previous prime is 11297621. The next prime is 11297677. The reversal of 11297664 is 46679211.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

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, 23959 + ... + 24425.

It is an arithmetic number, because the mean of its divisors is an integer number (298350).

Almost surely, 2^11297664 is an apocalyptic number.

11297664 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 11297664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19094400).

11297664 is an abundant number, since it is smaller than the sum of its proper divisors (26891136).

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

11297664 is an equidigital number, since it uses as much as digits as its factorization.

11297664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 479 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 11297664 is about 3361.1997857908. The cubic root of 11297664 is about 224.3862383965.

The spelling of 11297664 in words is "eleven million, two hundred ninety-seven thousand, six hundred sixty-four".