1168176640 has 80 divisors (see below), whose sum is σ = 2809632672. Its totient is φ = 465813504.

The previous prime is 1168176631. The next prime is 1168176661. The reversal of 1168176640 is 466718611.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 1168176593 and 1168176602.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1246252 + ... + 1247188.

Almost surely, 2^1168176640 is an apocalyptic number.

1168176640 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 1168176640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1404816336).

1168176640 is an abundant number, since it is smaller than the sum of its proper divisors (1641456032).

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

1168176640 is an frugal number, since it uses more digits than its factorization.

1168176640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1447 (or 1431 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 40.

The square root of 1168176640 is about 34178.5991521010. The cubic root of 1168176640 is about 1053.1805721246.

The spelling of 1168176640 in words is "one billion, one hundred sixty-eight million, one hundred seventy-six thousand, six hundred forty".