1024220160 has 352 divisors, whose sum is σ = 3773030400. Its totient is φ = 263208960.

The previous prime is 1024220147. The next prime is 1024220201. The reversal of 1024220160 is 610224201.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4285321 + ... + 4285559.

Almost surely, 2^1024220160 is an apocalyptic number.

1024220160 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 1024220160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1886515200).

1024220160 is an abundant number, since it is smaller than the sum of its proper divisors (2748810240).

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

1024220160 is a wasteful number, since it uses less digits than its factorization.

1024220160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1024220160 is about 32003.4398151199. The cubic root of 1024220160 is about 1008.0090702132.

Adding to 1024220160 its reverse (610224201), we get a palindrome (1634444361).

The spelling of 1024220160 in words is "one billion, twenty-four million, two hundred twenty thousand, one hundred sixty".