1145633220 has 288 divisors, whose sum is σ = 3876058368. Its totient is φ = 283295232.

The previous prime is 1145633207. The next prime is 1145633221. The reversal of 1145633220 is 223365411.

1145633220 is a `hidden beast` number, since 1 + 1 + 4 + 5 + 633 + 2 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1145633221) 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 95 ways as a sum of consecutive naturals, for example, 4135722 + ... + 4135998.

It is an arithmetic number, because the mean of its divisors is an integer number (13458536).

Almost surely, 2^1145633220 is an apocalyptic number.

1145633220 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 1145633220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1938029184).

1145633220 is an abundant number, since it is smaller than the sum of its proper divisors (2730425148).

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

1145633220 is a wasteful number, since it uses less digits than its factorization.

1145633220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 1145633220 is about 33847.2040204209. The cubic root of 1145633220 is about 1046.3617755480.

Adding to 1145633220 its reverse (223365411), we get a palindrome (1368998631).

The spelling of 1145633220 in words is "one billion, one hundred forty-five million, six hundred thirty-three thousand, two hundred twenty".