1191876840 has 768 divisors, whose sum is σ = 5319475200. Its totient is φ = 223948800.

The previous prime is 1191876823. The next prime is 1191876841. The reversal of 1191876840 is 486781911.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1191876841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 16327044 + ... + 16327116.

It is an arithmetic number, because the mean of its divisors is an integer number (6926400).

Almost surely, 2^1191876840 is an apocalyptic number.

1191876840 is a gapful number since it is divisible by the number (10) 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 1191876840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2659737600).

1191876840 is an abundant number, since it is smaller than the sum of its proper divisors (4127598360).

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

1191876840 is a wasteful number, since it uses less digits than its factorization.

1191876840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 45.

The square root of 1191876840 is about 34523.5693403796. The cubic root of 1191876840 is about 1060.2553200085.

The spelling of 1191876840 in words is "one billion, one hundred ninety-one million, eight hundred seventy-six thousand, eight hundred forty".