11558640 has 80 divisors (see below), whose sum is σ = 37952928. Its totient is φ = 2899968.

The previous prime is 11558621. The next prime is 11558647. The reversal of 11558640 is 4685511.

11558640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 11558598 and 11558607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11558647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2664 + ... + 5496.

Almost surely, 2^11558640 is an apocalyptic number.

11558640 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 11558640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18976464).

11558640 is an abundant number, since it is smaller than the sum of its proper divisors (26394288).

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

11558640 is a wasteful number, since it uses less digits than its factorization.

11558640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2866 (or 2860 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

The square root of 11558640 is about 3399.7999941173. The cubic root of 11558640 is about 226.1008764691.

The spelling of 11558640 in words is "eleven million, five hundred fifty-eight thousand, six hundred forty".