1171086408 has 108 divisors (see below), whose sum is σ = 3289910715. Its totient is φ = 376327296.

The previous prime is 1171086383. The next prime is 1171086409. The reversal of 1171086408 is 8046801711.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

1171086408 is a `hidden beast` number, since 1 + 1 + 7 + 1 + 0 + 8 + 640 + 8 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 1152059364 + 19027044 = 33942^2 + 4362^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=24198.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1171086409) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 10743858 + ... + 10743966.

Almost surely, 2^1171086408 is an apocalyptic number.

1171086408 is a gapful number since it is divisible by the number (18) 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 1171086408

1171086408 is an abundant number, since it is smaller than the sum of its proper divisors (2118824307).

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

1171086408 is a wasteful number, since it uses less digits than its factorization.

1171086408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

The square root of 1171086408 is about 34221.1397823042. The cubic root of 1171086408 is about 1054.0542899374.

The spelling of 1171086408 in words is "one billion, one hundred seventy-one million, eighty-six thousand, four hundred eight".