11877138 has 64 divisors (see below), whose sum is σ = 32497920. Its totient is φ = 3131136.

The previous prime is 11877137. The next prime is 11877143. The reversal of 11877138 is 83177811.

11877138 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 is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (11877137) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3706 + ... + 6122.

It is an arithmetic number, because the mean of its divisors is an integer number (507780).

Almost surely, 2^11877138 is an apocalyptic number.

11877138 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11877138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16248960).

11877138 is an abundant number, since it is smaller than the sum of its proper divisors (20620782).

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

11877138 is a wasteful number, since it uses less digits than its factorization.

11877138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2448 (or 2442 counting only the distinct ones).

The product of its digits is 9408, while the sum is 36.

The square root of 11877138 is about 3446.3223877055. The cubic root of 11877138 is about 228.1588228577.

The spelling of 11877138 in words is "eleven million, eight hundred seventy-seven thousand, one hundred thirty-eight".