1161872208 has 320 divisors, whose sum is σ = 4094737920. Its totient is φ = 307888128.

The previous prime is 1161872207. The next prime is 1161872221. The reversal of 1161872208 is 8022781611.

1161872208 is a `hidden beast` number, since 11 + 618 + 7 + 2 + 20 + 8 = 666.

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 (1161872207) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4986460 + ... + 4986692.

It is an arithmetic number, because the mean of its divisors is an integer number (12796056).

Almost surely, 2^1161872208 is an apocalyptic number.

1161872208 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 1161872208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2047368960).

1161872208 is an abundant number, since it is smaller than the sum of its proper divisors (2932865712).

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

1161872208 is a wasteful number, since it uses less digits than its factorization.

1161872208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 359 counting only the distinct ones).

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

The square root of 1161872208 is about 34086.2466106199. The cubic root of 1161872208 is about 1051.2825470508.

The spelling of 1161872208 in words is "one billion, one hundred sixty-one million, eight hundred seventy-two thousand, two hundred eight".