1020054784 has 72 divisors (see below), whose sum is σ = 2428272000. Its totient is φ = 418142208.

The previous prime is 1020054773. The next prime is 1020054797. The reversal of 1020054784 is 4874500201.

It is a super-2 number, since 2×1020054784² = 2081023524722573312, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 28842 + ... + 53590.

It is an arithmetic number, because the mean of its divisors is an integer number (33726000).

Almost surely, 2^1020054784 is an apocalyptic number.

1020054784 is a gapful number since it is divisible by the number (14) 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 1020054784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1214136000).

1020054784 is an abundant number, since it is smaller than the sum of its proper divisors (1408217216).

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

1020054784 is an equidigital number, since it uses as much as digits as its factorization.

1020054784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24795 (or 24781 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 31.

The square root of 1020054784 is about 31938.2965106156. The cubic root of 1020054784 is about 1006.6407310736.

Adding to 1020054784 its reverse (4874500201), we get a palindrome (5894554985).

The spelling of 1020054784 in words is "one billion, twenty million, fifty-four thousand, seven hundred eighty-four".