1186738560 has 256 divisors, whose sum is σ = 4803955200. Its totient is φ = 271226880.

The previous prime is 1186738547. The next prime is 1186738577. The reversal of 1186738560 is 658376811.

1186738560 is a `hidden beast` number, since 1 + 1 + 86 + 7 + 3 + 8 + 560 = 666.

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

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, 116055 + ... + 125865.

It is an arithmetic number, because the mean of its divisors is an integer number (18765450).

Almost surely, 2^1186738560 is an apocalyptic number.

1186738560 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 1186738560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2401977600).

1186738560 is an abundant number, since it is smaller than the sum of its proper divisors (3617216640).

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

1186738560 is an equidigital number, since it uses as much as digits as its factorization.

1186738560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9846 (or 9828 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 1186738560 is about 34449.0719758893. The cubic root of 1186738560 is about 1058.7295090371.

The spelling of 1186738560 in words is "one billion, one hundred eighty-six million, seven hundred thirty-eight thousand, five hundred sixty".