1020783360 has 288 divisors, whose sum is σ = 3637992960. Its totient is φ = 242417664.

The previous prime is 1020783359. The next prime is 1020783373. The reversal of 1020783360 is 633870201.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1239909 + ... + 1240731.

It is an arithmetic number, because the mean of its divisors is an integer number (12631920).

Almost surely, 2^1020783360 is an apocalyptic number.

1020783360 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 1020783360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1818996480).

1020783360 is an abundant number, since it is smaller than the sum of its proper divisors (2617209600).

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

1020783360 is a wasteful number, since it uses less digits than its factorization.

1020783360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 883 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 1020783360 is about 31949.7004680795. The cubic root of 1020783360 is about 1006.8803390319.

The spelling of 1020783360 in words is "one billion, twenty million, seven hundred eighty-three thousand, three hundred sixty".