1024061220 has 288 divisors, whose sum is σ = 3867252480. Its totient is φ = 213580800.

The previous prime is 1024061219. The next prime is 1024061237. The reversal of 1024061220 is 221604201.

1024061220 is a `hidden beast` number, since 10 + 2 + 40 + 612 + 2 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1024061193 and 1024061202.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1654071 + ... + 1654689.

It is an arithmetic number, because the mean of its divisors is an integer number (13427960).

Almost surely, 2^1024061220 is an apocalyptic number.

1024061220 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 1024061220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1933626240).

1024061220 is an abundant number, since it is smaller than the sum of its proper divisors (2843191260).

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

1024061220 is a wasteful number, since it uses less digits than its factorization.

1024061220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 755 (or 750 counting only the distinct ones).

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

The square root of 1024061220 is about 32000.9565482034. The cubic root of 1024061220 is about 1007.9569260694.

Adding to 1024061220 its reverse (221604201), we get a palindrome (1245665421).

The spelling of 1024061220 in words is "one billion, twenty-four million, sixty-one thousand, two hundred twenty".