1188264 has 64 divisors (see below), whose sum is σ = 3709440. Its totient is φ = 308160.

The previous prime is 1188263. The next prime is 1188269. The reversal of 1188264 is 4628811.

1188264 = T₃₉ + T₄₀ + ... + T₁₉₂.

It is a super-3 number, since 3×1188264³ = 5033384114588831232, which contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1188263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1527 + ... + 2169.

It is an arithmetic number, because the mean of its divisors is an integer number (57960).

2^1188264 is an apocalyptic number.

1188264 is a gapful number since it is divisible by the number (14) 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 1188264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1854720).

1188264 is an abundant number, since it is smaller than the sum of its proper divisors (2521176).

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

1188264 is a wasteful number, since it uses less digits than its factorization.

1188264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670 (or 666 counting only the distinct ones).

The product of its digits is 3072, while the sum is 30.

The square root of 1188264 is about 1090.0752267619. The cubic root of 1188264 is about 105.9182946972.

The spelling of 1188264 in words is "one million, one hundred eighty-eight thousand, two hundred sixty-four".