11296840 has 64 divisors (see below), whose sum is σ = 27702000. Its totient is φ = 4128768.

The previous prime is 11296837. The next prime is 11296847. The reversal of 11296840 is 4869211.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 9375844 + 1920996 = 3062^2 + 1386^2 .

It is not an unprimeable number, because it can be changed into a prime (11296847) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24936 + ... + 25384.

Almost surely, 2^11296840 is an apocalyptic number.

11296840 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 11296840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13851000).

11296840 is an abundant number, since it is smaller than the sum of its proper divisors (16405160).

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

11296840 is a wasteful number, since it uses less digits than its factorization.

11296840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The square root of 11296840 is about 3361.0772082771. The cubic root of 11296840 is about 224.3807830282.

The spelling of 11296840 in words is "eleven million, two hundred ninety-six thousand, eight hundred forty".