11257440 has 96 divisors (see below), whose sum is σ = 36288000. Its totient is φ = 2932224.

The previous prime is 11257439. The next prime is 11257501. The reversal of 11257440 is 4475211.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a self number, because there is not a number n which added to its sum of digits gives 11257440.

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 15 ways as a sum of consecutive naturals, for example, 22311 + ... + 22809.

It is an arithmetic number, because the mean of its divisors is an integer number (378000).

Almost surely, 2^11257440 is an apocalyptic number.

11257440 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 11257440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18144000).

11257440 is an abundant number, since it is smaller than the sum of its proper divisors (25030560).

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

11257440 is a wasteful number, since it uses less digits than its factorization.

11257440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 11257440 is about 3355.2108726576. The cubic root of 11257440 is about 224.1196214820.

The spelling of 11257440 in words is "eleven million, two hundred fifty-seven thousand, four hundred forty".