11677440 has 72 divisors (see below), whose sum is σ = 37307088. Its totient is φ = 3112960.

The previous prime is 11677439. The next prime is 11677447. The reversal of 11677440 is 4477611.

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 = 11677398 and 11677407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11677447) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2320 + ... + 5360.

It is an arithmetic number, because the mean of its divisors is an integer number (518154).

Almost surely, 2^11677440 is an apocalyptic number.

11677440 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 11677440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18653544).

11677440 is an abundant number, since it is smaller than the sum of its proper divisors (25629648).

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

11677440 is an equidigital number, since it uses as much as digits as its factorization.

11677440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3065 (or 3051 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 30.

The square root of 11677440 is about 3417.2269459315. The cubic root of 11677440 is about 226.8728611991.

The spelling of 11677440 in words is "eleven million, six hundred seventy-seven thousand, four hundred forty".