1161871200 has 216 divisors, whose sum is σ = 4682544048. Its totient is φ = 265559040.

The previous prime is 1161871199. The next prime is 1161871201. The reversal of 1161871200 is 21781611.

It is an interprime number because it is at equal distance from previous prime (1161871199) and next prime (1161871201).

It is a super-4 number, since 4×1161871200⁴ (a number of 37 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1161871201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 38874 + ... + 61926.

Almost surely, 2^1161871200 is an apocalyptic number.

1161871200 is a gapful number since it is divisible by the number (10) 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 1161871200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2341272024).

1161871200 is an abundant number, since it is smaller than the sum of its proper divisors (3520672848).

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

1161871200 is a wasteful number, since it uses less digits than its factorization.

1161871200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23086 (or 23070 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 27.

The square root of 1161871200 is about 34086.2318245945. The cubic root of 1161871200 is about 1051.2822430319.

The spelling of 1161871200 in words is "one billion, one hundred sixty-one million, eight hundred seventy-one thousand, two hundred".