11705040 has 80 divisors (see below), whose sum is σ = 40324800. Its totient is φ = 3120768.

The previous prime is 11705033. The next prime is 11705041. The reversal of 11705040 is 4050711.

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

It is a super-2 number, since 2×11705040² = 274015922803200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11705041) 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 15 ways as a sum of consecutive naturals, for example, 550 + ... + 4869.

It is an arithmetic number, because the mean of its divisors is an integer number (504060).

Almost surely, 2^11705040 is an apocalyptic number.

11705040 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 11705040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20162400).

11705040 is an abundant number, since it is smaller than the sum of its proper divisors (28619760).

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

11705040 is a wasteful number, since it uses less digits than its factorization.

11705040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5441 (or 5429 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 11705040 is about 3421.2629247107. The cubic root of 11705040 is about 227.0514609664.

Adding to 11705040 its reverse (4050711), we get a palindrome (15755751).

The spelling of 11705040 in words is "eleven million, seven hundred five thousand, forty".