11736240 has 80 divisors (see below), whose sum is σ = 36902400. Its totient is φ = 3085056.

The previous prime is 11736227. The next prime is 11736253. The reversal of 11736240 is 4263711.

It is an interprime number because it is at equal distance from previous prime (11736227) and next prime (11736253).

It is a tau number, because it is divible by the number of its divisors (80).

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 11736240.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18651 + ... + 19269.

It is an arithmetic number, because the mean of its divisors is an integer number (461280).

Almost surely, 2^11736240 is an apocalyptic number.

11736240 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 11736240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18451200).

11736240 is an abundant number, since it is smaller than the sum of its proper divisors (25166160).

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

11736240 is a wasteful number, since it uses less digits than its factorization.

11736240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 714 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 11736240 is about 3425.8196099620. The cubic root of 11736240 is about 227.2530186061.

Adding to 11736240 its reverse (4263711), we get a palindrome (15999951).

The spelling of 11736240 in words is "eleven million, seven hundred thirty-six thousand, two hundred forty".