11247840 has 144 divisors (see below), whose sum is σ = 39272688. Its totient is φ = 2930688.

The previous prime is 11247809. The next prime is 11247871. The reversal of 11247840 is 4874211.

It is an interprime number because it is at equal distance from previous prime (11247809) and next prime (11247871).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 105067 + ... + 105173.

It is an arithmetic number, because the mean of its divisors is an integer number (272727).

Almost surely, 2^11247840 is an apocalyptic number.

11247840 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 11247840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19636344).

11247840 is an abundant number, since it is smaller than the sum of its proper divisors (28024848).

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

11247840 is a wasteful number, since it uses less digits than its factorization.

11247840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 11247840 is about 3353.7799570037. The cubic root of 11247840 is about 224.0558959148.

The spelling of 11247840 in words is "eleven million, two hundred forty-seven thousand, eight hundred forty".