11375840 has 72 divisors (see below), whose sum is σ = 31284792. Its totient is φ = 3897600.

The previous prime is 11375821. The next prime is 11375843. The reversal of 11375840 is 4857311.

It is a super-3 number, since 3×11375840³ (a number of 22 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11375843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7115 + ... + 8565.

It is an arithmetic number, because the mean of its divisors is an integer number (434511).

Almost surely, 2^11375840 is an apocalyptic number.

11375840 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 11375840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15642396).

11375840 is an abundant number, since it is smaller than the sum of its proper divisors (19908952).

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

11375840 is a wasteful number, since it uses less digits than its factorization.

11375840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1480 (or 1465 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 29.

The square root of 11375840 is about 3372.8089183943. The cubic root of 11375840 is about 224.9026080554.

The spelling of 11375840 in words is "eleven million, three hundred seventy-five thousand, eight hundred forty".