11287296 has 144 divisors (see below), whose sum is σ = 35320320. Its totient is φ = 3548160.

The previous prime is 11287291. The next prime is 11287301. The reversal of 11287296 is 69278211.

11287296 = T₅₂₈ + T₅₂₉ + ... + T₅₉₈.

It is an interprime number because it is at equal distance from previous prime (11287291) and next prime (11287301).

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a self number, because there is not a number n which added to its sum of digits gives 11287296.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11287291) 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, 158941 + ... + 159011.

It is an arithmetic number, because the mean of its divisors is an integer number (245280).

Almost surely, 2^11287296 is an apocalyptic number.

11287296 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 11287296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17660160).

11287296 is an abundant number, since it is smaller than the sum of its proper divisors (24033024).

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

11287296 is an equidigital number, since it uses as much as digits as its factorization.

11287296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 99 counting only the distinct ones).

The product of its digits is 12096, while the sum is 36.

The square root of 11287296 is about 3359.6571253626. The cubic root of 11287296 is about 224.3175767526.

The spelling of 11287296 in words is "eleven million, two hundred eighty-seven thousand, two hundred ninety-six".