1191490560 has 660 divisors, whose sum is σ = 4895285868. Its totient is φ = 276037632.

The previous prime is 1191490529. The next prime is 1191490571. The reversal of 1191490560 is 650941911.

1191490560 is a `hidden beast` number, since 1 + 1 + 9 + 1 + 4 + 90 + 560 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 113550336 + 1077940224 = 10656^2 + 32832^2 .

It is a super-2 number, since 2×1191490560² = 2839299509138227200, which contains 22 as substring.

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 59 ways as a sum of consecutive naturals, for example, 70087672 + ... + 70087688.

Almost surely, 2^1191490560 is an apocalyptic number.

1191490560 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 1191490560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2447642934).

1191490560 is an abundant number, since it is smaller than the sum of its proper divisors (3703795308).

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

1191490560 is a wasteful number, since it uses less digits than its factorization.

1191490560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 36.

The square root of 1191490560 is about 34517.9744481046. The cubic root of 1191490560 is about 1060.1407668757.

The spelling of 1191490560 in words is "one billion, one hundred ninety-one million, four hundred ninety thousand, five hundred sixty".