1163122560 has 192 divisors, whose sum is σ = 4054218480. Its totient is φ = 307249152.

The previous prime is 1163122559. The next prime is 1163122567. The reversal of 1163122560 is 652213611.

1163122560 is a `hidden beast` number, since 1 + 1 + 631 + 2 + 25 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1163122567) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 649987 + ... + 651773.

Almost surely, 2^1163122560 is an apocalyptic number.

1163122560 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 1163122560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2027109240).

1163122560 is an abundant number, since it is smaller than the sum of its proper divisors (2891095920).

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

1163122560 is a wasteful number, since it uses less digits than its factorization.

1163122560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1925 (or 1910 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 1163122560 is about 34104.5826832700. The cubic root of 1163122560 is about 1051.6595253975.

It can be divided in two parts, 11631 and 22560, that added together give a triangular number (34191 = T₂₆₁).

The spelling of 1163122560 in words is "one billion, one hundred sixty-three million, one hundred twenty-two thousand, five hundred sixty".