1020283920 has 120 divisors (see below), whose sum is σ = 3491234136. Its totient is φ = 266932224.

The previous prime is 1020283903. The next prime is 1020283963. The reversal of 1020283920 is 293820201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 255872016 + 764411904 = 15996^2 + 27648^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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 23 ways as a sum of consecutive naturals, for example, 24792 + ... + 51528.

Almost surely, 2^1020283920 is an apocalyptic number.

1020283920 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 1020283920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1745617068).

1020283920 is an abundant number, since it is smaller than the sum of its proper divisors (2470950216).

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

1020283920 is a wasteful number, since it uses less digits than its factorization.

1020283920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26809 (or 26800 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1020283920 is about 31941.8834760883. The cubic root of 1020283920 is about 1006.7160996928.

The spelling of 1020283920 in words is "one billion, twenty million, two hundred eighty-three thousand, nine hundred twenty".