1020218760 has 384 divisors, whose sum is σ = 3857212800. Its totient is φ = 239500800.

The previous prime is 1020218701. The next prime is 1020218761. The reversal of 1020218760 is 678120201.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020218761) 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, 4835055 + ... + 4835265.

It is an arithmetic number, because the mean of its divisors is an integer number (10044825).

Almost surely, 2^1020218760 is an apocalyptic number.

1020218760 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 1020218760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1928606400).

1020218760 is an abundant number, since it is smaller than the sum of its proper divisors (2836994040).

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

1020218760 is a wasteful number, since it uses less digits than its factorization.

1020218760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 1020218760 is about 31940.8634823794. The cubic root of 1020218760 is about 1006.6946680709.

Adding to 1020218760 its reverse (678120201), we get a palindrome (1698338961).

The spelling of 1020218760 in words is "one billion, twenty million, two hundred eighteen thousand, seven hundred sixty".