11677540 has 48 divisors (see below), whose sum is σ = 28224000. Its totient is φ = 3975552.

The previous prime is 11677531. The next prime is 11677613. The reversal of 11677540 is 4577611.

11677540 = 91² + 92² + ... + 329².

11677540 is nontrivially palindromic in base 11.

11677540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 33286 + ... + 33634.

It is an arithmetic number, because the mean of its divisors is an integer number (588000).

Almost surely, 2^11677540 is an apocalyptic number.

11677540 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 11677540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14112000).

11677540 is an abundant number, since it is smaller than the sum of its proper divisors (16546460).

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

11677540 is a wasteful number, since it uses less digits than its factorization.

11677540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 31.

The square root of 11677540 is about 3417.2415776471. The cubic root of 11677540 is about 226.8735088074.

The spelling of 11677540 in words is "eleven million, six hundred seventy-seven thousand, five hundred forty".