1191888 has 80 divisors (see below), whose sum is σ = 3571200. Its totient is φ = 380160.

The previous prime is 1191847. The next prime is 1191899. The reversal of 1191888 is 8881911.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is a congruent number.

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, 13348 + ... + 13436.

It is an arithmetic number, because the mean of its divisors is an integer number (44640).

2^1191888 is an apocalyptic number.

1191888 is a gapful number since it is divisible by the number (18) 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 1191888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1785600).

1191888 is an abundant number, since it is smaller than the sum of its proper divisors (2379312).

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

1191888 is a wasteful number, since it uses less digits than its factorization.

1191888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 125 counting only the distinct ones).

The product of its digits is 4608, while the sum is 36.

The square root of 1191888 is about 1091.7362318802. The cubic root of 1191888 is about 106.0258629191.

The spelling of 1191888 in words is "one million, one hundred ninety-one thousand, eight hundred eighty-eight".