11877888 has 160 divisors (see below), whose sum is σ = 37319040. Its totient is φ = 3317760.

The previous prime is 11877871. The next prime is 11877889. The reversal of 11877888 is 88877811.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11877889) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 321006 + ... + 321042.

It is an arithmetic number, because the mean of its divisors is an integer number (233244).

Almost surely, 2^11877888 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11877888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18659520).

11877888 is an abundant number, since it is smaller than the sum of its proper divisors (25441152).

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

11877888 is a wasteful number, since it uses less digits than its factorization.

11877888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 72 counting only the distinct ones).

The product of its digits is 200704, while the sum is 48.

The square root of 11877888 is about 3446.4311976304. The cubic root of 11877888 is about 228.1636252356.

11877888 divided by its sum of digits (48) gives a triangular number (247456 = T₇₀₃).

The spelling of 11877888 in words is "eleven million, eight hundred seventy-seven thousand, eight hundred eighty-eight".