1188864 has 88 divisors (see below), whose sum is σ = 3602720. Its totient is φ = 387072.

The previous prime is 1188857. The next prime is 1188899. The reversal of 1188864 is 4688811.

It is a super-2 number, since 2×1188864² = 2826795220992, which contains 22 as substring.

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 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.

Its product of digits (12288) is a multiple of the sum of its prime divisors (48).

It is a nialpdrome in base 8.

It is a zygodrome in base 8.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27627 + ... + 27669.

It is an arithmetic number, because the mean of its divisors is an integer number (40940).

2^1188864 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 1188864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1801360).

1188864 is an abundant number, since it is smaller than the sum of its proper divisors (2413856).

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

1188864 is an equidigital number, since it uses as much as digits as its factorization.

1188864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 48 counting only the distinct ones).

The product of its digits is 12288, while the sum is 36.

The square root of 1188864 is about 1090.3504023937. The cubic root of 1188864 is about 105.9361190986.

The spelling of 1188864 in words is "one million, one hundred eighty-eight thousand, eight hundred sixty-four".