1171408896 has 216 divisors, whose sum is σ = 3938644710. Its totient is φ = 334430208.

The previous prime is 1171408891. The next prime is 1171408897. The reversal of 1171408896 is 6988041711.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 618218496 + 553190400 = 24864^2 + 23520^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1171408891) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 902520 + ... + 903816.

Almost surely, 2^1171408896 is an apocalyptic number.

1171408896 is a gapful number since it is divisible by the number (16) 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 1171408896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1969322355).

1171408896 is an abundant number, since it is smaller than the sum of its proper divisors (2767235814).

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

1171408896 is a wasteful number, since it uses less digits than its factorization.

1171408896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1339 (or 1309 counting only the distinct ones).

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

The square root of 1171408896 is about 34225.8512823275. The cubic root of 1171408896 is about 1054.1510344817.

The spelling of 1171408896 in words is "one billion, one hundred seventy-one million, four hundred eight thousand, eight hundred ninety-six".