1191106560 has 384 divisors, whose sum is σ = 4528742400. Its totient is φ = 261488640.

The previous prime is 1191106487. The next prime is 1191106603. The reversal of 1191106560 is 656011911.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 6236065 + ... + 6236255.

It is an arithmetic number, because the mean of its divisors is an integer number (11793600).

Almost surely, 2^1191106560 is an apocalyptic number.

1191106560 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 1191106560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2264371200).

1191106560 is an abundant number, since it is smaller than the sum of its proper divisors (3337635840).

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

1191106560 is a wasteful number, since it uses less digits than its factorization.

1191106560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 30.

The square root of 1191106560 is about 34512.4116804375. The cubic root of 1191106560 is about 1060.0268653450.

The spelling of 1191106560 in words is "one billion, one hundred ninety-one million, one hundred six thousand, five hundred sixty".