1161631200 has 144 divisors (see below), whose sum is σ = 3793257216. Its totient is φ = 308774400.

The previous prime is 1161631189. The next prime is 1161631223. The reversal of 1161631200 is 21361611.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1033839 + ... + 1034961.

It is an arithmetic number, because the mean of its divisors is an integer number (26342064).

Almost surely, 2^1161631200 is an apocalyptic number.

1161631200 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 1161631200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1896628608).

1161631200 is an abundant number, since it is smaller than the sum of its proper divisors (2631626016).

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

1161631200 is a wasteful number, since it uses less digits than its factorization.

1161631200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1577 (or 1564 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 1161631200 is about 34082.7111597654. The cubic root of 1161631200 is about 1051.2098525889.

Adding to 1161631200 its reverse (21361611), we get a palindrome (1182992811).

The spelling of 1161631200 in words is "one billion, one hundred sixty-one million, six hundred thirty-one thousand, two hundred".