11251296 has 72 divisors (see below), whose sum is σ = 36573264. Its totient is φ = 3214080.

The previous prime is 11251277. The next prime is 11251309. The reversal of 11251296 is 69215211.

11251296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 775 + ... + 4806.

It is an arithmetic number, because the mean of its divisors is an integer number (507962).

Almost surely, 2^11251296 is an apocalyptic number.

11251296 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 11251296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18286632).

11251296 is an abundant number, since it is smaller than the sum of its proper divisors (25321968).

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

11251296 is a wasteful number, since it uses less digits than its factorization.

11251296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5604 (or 5593 counting only the distinct ones).

The product of its digits is 1080, while the sum is 27.

The square root of 11251296 is about 3354.2951569592. The cubic root of 11251296 is about 224.0788412946.

The spelling of 11251296 in words is "eleven million, two hundred fifty-one thousand, two hundred ninety-six".