11738240 has 32 divisors (see below), whose sum is σ = 28063260. Its totient is φ = 4695040.

The previous prime is 11738231. The next prime is 11738249. The reversal of 11738240 is 4283711.

It is an interprime number because it is at equal distance from previous prime (11738231) and next prime (11738249).

It can be written as a sum of positive squares in 2 ways, for example, as 10705984 + 1032256 = 3272^2 + 1016^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (11738249) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8531 + ... + 9810.

Almost surely, 2^11738240 is an apocalyptic number.

11738240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11738240 is an abundant number, since it is smaller than the sum of its proper divisors (16325020).

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

11738240 is an equidigital number, since it uses as much as digits as its factorization.

11738240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18360 (or 18348 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 11738240 is about 3426.1114984775. Note that the first 3 decimals coincide. The cubic root of 11738240 is about 227.2659267783.

The spelling of 11738240 in words is "eleven million, seven hundred thirty-eight thousand, two hundred forty".