1163856960 has 168 divisors, whose sum is σ = 4575145536. Its totient is φ = 266019840.

The previous prime is 1163856949. The next prime is 1163856961. The reversal of 1163856960 is 696583611.

1163856960 is a `hidden beast` number, since 1 + 1 + 638 + 5 + 6 + 9 + 6 + 0 = 666.

1163856960 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (168).

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

It is not an unprimeable number, because it can be changed into a prime (1163856961) 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, 8706 + ... + 49025.

Almost surely, 2^1163856960 is an apocalyptic number.

1163856960 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 1163856960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2287572768).

1163856960 is an abundant number, since it is smaller than the sum of its proper divisors (3411288576).

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

1163856960 is a wasteful number, since it uses less digits than its factorization.

1163856960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57761 (or 57748 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 1163856960 is about 34115.3478657334. The cubic root of 1163856960 is about 1051.8808194344.

The spelling of 1163856960 in words is "one billion, one hundred sixty-three million, eight hundred fifty-six thousand, nine hundred sixty".