1161224064 has 768 divisors, whose sum is σ = 4811788800. Its totient is φ = 258785280.

The previous prime is 1161224063. The next prime is 1161224087. The reversal of 1161224064 is 4604221611.

1161224064 is a `hidden beast` number, since 1 + 1 + 612 + 2 + 40 + 6 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1161224063) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21909862 + ... + 21909914.

It is an arithmetic number, because the mean of its divisors is an integer number (6265350).

Almost surely, 2^1161224064 is an apocalyptic number.

1161224064 is a gapful number since it is divisible by the number (14) 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 1161224064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2405894400).

1161224064 is an abundant number, since it is smaller than the sum of its proper divisors (3650564736).

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

1161224064 is a wasteful number, since it uses less digits than its factorization.

1161224064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1161224064 is about 34076.7378720440. The cubic root of 1161224064 is about 1051.0870266337.

Adding to 1161224064 its reverse (4604221611), we get a palindrome (5765445675).

The spelling of 1161224064 in words is "one billion, one hundred sixty-one million, two hundred twenty-four thousand, sixty-four".