11577340 has 36 divisors (see below), whose sum is σ = 25839576. Its totient is φ = 4356352.

The previous prime is 11577329. The next prime is 11577347. The reversal of 11577340 is 4377511.

It is a junction number, because it is equal to n+sod(n) for n = 11577299 and 11577308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11577347) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4779 + ... + 6781.

It is an arithmetic number, because the mean of its divisors is an integer number (717766).

Almost surely, 2^11577340 is an apocalyptic number.

11577340 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 11577340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12919788).

11577340 is an abundant number, since it is smaller than the sum of its proper divisors (14262236).

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

11577340 is a wasteful number, since it uses less digits than its factorization.

11577340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2046 (or 2027 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 28.

The square root of 11577340 is about 3402.5490444665. The cubic root of 11577340 is about 226.2227422572. Note that the first 3 decimals are identical.

The spelling of 11577340 in words is "eleven million, five hundred seventy-seven thousand, three hundred forty".