11946240 has 216 divisors, whose sum is σ = 44481528. Its totient is φ = 2949120.

The previous prime is 11946239. The next prime is 11946241. The reversal of 11946240 is 4264911.

It is an interprime number because it is at equal distance from previous prime (11946239) and next prime (11946241).

It can be written as a sum of positive squares in 4 ways, for example, as 331776 + 11614464 = 576^2 + 3408^2 .

It is a nialpdrome in base 8.

It is a zygodrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11946241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 195810 + ... + 195870.

It is an arithmetic number, because the mean of its divisors is an integer number (205933).

Almost surely, 2^11946240 is an apocalyptic number.

11946240 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 11946240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22240764).

11946240 is an abundant number, since it is smaller than the sum of its proper divisors (32535288).

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

11946240 is a wasteful number, since it uses less digits than its factorization.

11946240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 11946240 is about 3456.3333172598. Note that the first 4 decimals coincide. The cubic root of 11946240 is about 228.6004486963.

The spelling of 11946240 in words is "eleven million, nine hundred forty-six thousand, two hundred forty".