11677140 has 72 divisors (see below), whose sum is σ = 36658440. Its totient is φ = 3005184.

The previous prime is 11677139. The next prime is 11677199. The reversal of 11677140 is 4177611.

11677140 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2604996 + 9072144 = 1614^2 + 3012^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4102 + ... + 6338.

It is an arithmetic number, because the mean of its divisors is an integer number (509145).

It is a vampire number, since it can be written as 1740 ⋅ 6711 (with its own digits).

Almost surely, 2^11677140 is an apocalyptic number.

11677140 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 11677140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18329220).

11677140 is an abundant number, since it is smaller than the sum of its proper divisors (24981300).

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

11677140 is a wasteful number, since it uses less digits than its factorization.

11677140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2281 (or 2276 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 27.

The square root of 11677140 is about 3417.1830504086. The cubic root of 11677140 is about 226.8709183520.

The spelling of 11677140 in words is "eleven million, six hundred seventy-seven thousand, one hundred forty".