11359040 has 112 divisors (see below), whose sum is σ = 33796224. Its totient is φ = 3532800.

The previous prime is 11359027. The next prime is 11359057. The reversal of 11359040 is 4095311.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 11358997 and 11359015.

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, 24410 + ... + 24870.

It is an arithmetic number, because the mean of its divisors is an integer number (301752).

Almost surely, 2^11359040 is an apocalyptic number.

11359040 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 11359040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16898112).

11359040 is an abundant number, since it is smaller than the sum of its proper divisors (22437184).

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

11359040 is a wasteful number, since it uses less digits than its factorization.

11359040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 23.

The square root of 11359040 is about 3370.3174924627. The cubic root of 11359040 is about 224.7918404016.

The spelling of 11359040 in words is "eleven million, three hundred fifty-nine thousand, forty".