11759040 has 112 divisors (see below), whose sum is σ = 41513760. Its totient is φ = 3133440.

The previous prime is 11759023. The next prime is 11759051. The reversal of 11759040 is 4095711.

11759040 is digitally balanced in base 2, because in such base 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 junction number, because it is equal to n+sod(n) for n = 11758995 and 11759013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7960 + ... + 9320.

Almost surely, 2^11759040 is an apocalyptic number.

11759040 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 11759040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20756880).

11759040 is an abundant number, since it is smaller than the sum of its proper divisors (29754720).

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

11759040 is a wasteful number, since it uses less digits than its factorization.

11759040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1387 (or 1371 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 11759040 is about 3429.1456661973. The cubic root of 11759040 is about 227.4000849339.

The spelling of 11759040 in words is "eleven million, seven hundred fifty-nine thousand, forty".