1191144960 has 320 divisors, whose sum is σ = 4458643200. Its totient is φ = 300589056.

The previous prime is 1191144943. The next prime is 1191144973. The reversal of 1191144960 is 694411911.

It is a tau number, because it is divible by the number of its divisors (320).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1312827 + ... + 1313733.

It is an arithmetic number, because the mean of its divisors is an integer number (13933260).

Almost surely, 2^1191144960 is an apocalyptic number.

1191144960 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 1191144960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2229321600).

1191144960 is an abundant number, since it is smaller than the sum of its proper divisors (3267498240).

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

1191144960 is an equidigital number, since it uses as much as digits as its factorization.

1191144960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 958 (or 936 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 1191144960 is about 34512.9679975513. The cubic root of 1191144960 is about 1060.0382565996.

The spelling of 1191144960 in words is "one billion, one hundred ninety-one million, one hundred forty-four thousand, nine hundred sixty".