1161305600 has 240 divisors, whose sum is σ = 3544752288. Its totient is φ = 367165440.

The previous prime is 1161305543. The next prime is 1161305611. The reversal of 1161305600 is 65031611.

It is a happy number.

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, 1164302 + ... + 1165298.

Almost surely, 2^1161305600 is an apocalyptic number.

1161305600 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 1161305600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1772376144).

1161305600 is an abundant number, since it is smaller than the sum of its proper divisors (2383446688).

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

1161305600 is an equidigital number, since it uses as much as digits as its factorization.

1161305600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1045 (or 1024 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 23.

The square root of 1161305600 is about 34077.9342096906. The cubic root of 1161305600 is about 1051.1116269466. Note that the first 3 decimals are identical.

The spelling of 1161305600 in words is "one billion, one hundred sixty-one million, three hundred five thousand, six hundred".