1171600416 has 192 divisors, whose sum is σ = 3924264960. Its totient is φ = 333123840.

The previous prime is 1171600399. The next prime is 1171600471. The reversal of 1171600416 is 6140061711.

1171600416 is a `hidden beast` number, since 1 + 17 + 1 + 600 + 41 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 1171600416.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1856421 + ... + 1857051.

It is an arithmetic number, because the mean of its divisors is an integer number (20438880).

Almost surely, 2^1171600416 is an apocalyptic number.

1171600416 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 1171600416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1962132480).

1171600416 is an abundant number, since it is smaller than the sum of its proper divisors (2752664544).

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

1171600416 is a wasteful number, since it uses less digits than its factorization.

1171600416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 964 (or 950 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 1171600416 is about 34228.6490530959. The cubic root of 1171600416 is about 1054.2084809763.

The spelling of 1171600416 in words is "one billion, one hundred seventy-one million, six hundred thousand, four hundred sixteen".