1171923984 has 320 divisors, whose sum is σ = 4285440000. Its totient is φ = 303972480.

The previous prime is 1171923983. The next prime is 1171924043. The reversal of 1171923984 is 4893291711.

1171923984 is a `hidden beast` number, since 1 + 171 + 92 + 398 + 4 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1171923983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1629577 + ... + 1630295.

It is an arithmetic number, because the mean of its divisors is an integer number (13392000).

Almost surely, 2^1171923984 is an apocalyptic number.

1171923984 is a gapful number since it is divisible by the number (14) 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 1171923984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2142720000).

1171923984 is an abundant number, since it is smaller than the sum of its proper divisors (3113516016).

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

1171923984 is a wasteful number, since it uses less digits than its factorization.

1171923984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768 (or 742 counting only the distinct ones).

The product of its digits is 108864, while the sum is 45.

The square root of 1171923984 is about 34233.3752937101. The cubic root of 1171923984 is about 1054.3055210956.

The spelling of 1171923984 in words is "one billion, one hundred seventy-one million, nine hundred twenty-three thousand, nine hundred eighty-four".