11256720 has 160 divisors (see below), whose sum is σ = 38568960. Its totient is φ = 2703360.

The previous prime is 11256697. The next prime is 11256733. The reversal of 11256720 is 2765211.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 126436 + ... + 126524.

It is an arithmetic number, because the mean of its divisors is an integer number (241056).

Almost surely, 2^11256720 is an apocalyptic number.

11256720 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 11256720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19284480).

11256720 is an abundant number, since it is smaller than the sum of its proper divisors (27312240).

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

11256720 is a wasteful number, since it uses less digits than its factorization.

11256720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 11256720 is about 3355.1035751523. The cubic root of 11256720 is about 224.1148433214.

The spelling of 11256720 in words is "eleven million, two hundred fifty-six thousand, seven hundred twenty".