1171884960 has 288 divisors, whose sum is σ = 4279661568. Its totient is φ = 291287040.

The previous prime is 1171884943. The next prime is 1171884991. The reversal of 1171884960 is 694881711.

It is a happy number.

1171884960 is a `hidden beast` number, since 11 + 71 + 88 + 496 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 1357489 + ... + 1358351.

It is an arithmetic number, because the mean of its divisors is an integer number (14859936).

Almost surely, 2^1171884960 is an apocalyptic number.

1171884960 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 1171884960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2139830784).

1171884960 is an abundant number, since it is smaller than the sum of its proper divisors (3107776608).

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

1171884960 is a wasteful number, since it uses less digits than its factorization.

1171884960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 948 (or 937 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 45.

The square root of 1171884960 is about 34232.8053188751. The cubic root of 1171884960 is about 1054.2938184949.

The spelling of 1171884960 in words is "one billion, one hundred seventy-one million, eight hundred eighty-four thousand, nine hundred sixty".