1171059408 has 60 divisors (see below), whose sum is σ = 3294055908. Its totient is φ = 388362240.

The previous prime is 1171059401. The next prime is 1171059413. The reversal of 1171059408 is 8049501711.

It can be written as a sum of positive squares in 2 ways, for example, as 904325184 + 266734224 = 30072^2 + 16332^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1171059401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7728 + ... + 49008.

Almost surely, 2^1171059408 is an apocalyptic number.

1171059408 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 1171059408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1647027954).

1171059408 is an abundant number, since it is smaller than the sum of its proper divisors (2122996500).

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

1171059408 is a wasteful number, since it uses less digits than its factorization.

1171059408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41492 (or 41483 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 36.

The square root of 1171059408 is about 34220.7452870331. The cubic root of 1171059408 is about 1054.0461892870.

The spelling of 1171059408 in words is "one billion, one hundred seventy-one million, fifty-nine thousand, four hundred eight".