11781440 has 56 divisors (see below), whose sum is σ = 30614112. Its totient is φ = 4282880.

The previous prime is 11781439. The next prime is 11781461. The reversal of 11781440 is 4418711.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1847 + ... + 5193.

Almost surely, 2^11781440 is an apocalyptic number.

11781440 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 11781440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15307056).

11781440 is an abundant number, since it is smaller than the sum of its proper divisors (18832672).

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

11781440 is a wasteful number, since it uses less digits than its factorization.

11781440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3375 (or 3365 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 26.

The square root of 11781440 is about 3432.4102318925. The cubic root of 11781440 is about 227.5443861389.

It can be divided in two parts, 11781 and 440, that added together give a palindrome (12221).

The spelling of 11781440 in words is "eleven million, seven hundred eighty-one thousand, four hundred forty".