11856240 has 160 divisors (see below), whose sum is σ = 44640000. Its totient is φ = 2868480.

The previous prime is 11856239. The next prime is 11856269. The reversal of 11856240 is 4265811.

11856240 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23511 + ... + 24009.

It is an arithmetic number, because the mean of its divisors is an integer number (279000).

Almost surely, 2^11856240 is an apocalyptic number.

11856240 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 11856240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22320000).

11856240 is an abundant number, since it is smaller than the sum of its proper divisors (32783760).

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

11856240 is a wasteful number, since it uses less digits than its factorization.

11856240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 11856240 is about 3443.2891252406. The cubic root of 11856240 is about 228.0249280224.

The spelling of 11856240 in words is "eleven million, eight hundred fifty-six thousand, two hundred forty".