11760240 has 80 divisors (see below), whose sum is σ = 38390400. Its totient is φ = 2969856.

The previous prime is 11760239. The next prime is 11760241. The reversal of 11760240 is 4206711.

11760240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11760239) and next prime (11760241).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11760241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3271 + ... + 5849.

It is an arithmetic number, because the mean of its divisors is an integer number (479880).

Almost surely, 2^11760240 is an apocalyptic number.

11760240 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 11760240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19195200).

11760240 is an abundant number, since it is smaller than the sum of its proper divisors (26630160).

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

11760240 is a wasteful number, since it uses less digits than its factorization.

11760240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2614 (or 2608 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 11760240 is about 3429.3206324285. The cubic root of 11760240 is about 227.4078199990.

Adding to 11760240 its reverse (4206711), we get a palindrome (15966951).

It can be divided in two parts, 11760 and 240, that multiplied together give a square (2822400 = 1680²).

The spelling of 11760240 in words is "eleven million, seven hundred sixty thousand, two hundred forty".