11296640 has 64 divisors (see below), whose sum is σ = 28458000. Its totient is φ = 4276224.

The previous prime is 11296613. The next prime is 11296643. The reversal of 11296640 is 4669211.

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

It is a super-2 number, since 2×11296640² = 255228150579200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11296643) by changing a digit.

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, 11696 + ... + 12624.

Almost surely, 2^11296640 is an apocalyptic number.

11296640 is a gapful number since it is divisible by the number (10) 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 11296640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14229000).

11296640 is an abundant number, since it is smaller than the sum of its proper divisors (17161360).

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

11296640 is an equidigital number, since it uses as much as digits as its factorization.

11296640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 967 (or 955 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 11296640 is about 3361.0474557792. The cubic root of 11296640 is about 224.3794588697.

The spelling of 11296640 in words is "eleven million, two hundred ninety-six thousand, six hundred forty".