1005336020 has 48 divisors (see below), whose sum is σ = 2278850448. Its totient is φ = 370344960.

The previous prime is 1005335993. The next prime is 1005336029. The reversal of 1005336020 is 206335001.

It can be written as a sum of positive squares in 8 ways, for example, as 15100996 + 990235024 = 3886^2 + 31468^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1005335983 and 1005336001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005336029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 114590 + ... + 123050.

It is an arithmetic number, because the mean of its divisors is an integer number (47476051).

Almost surely, 2^1005336020 is an apocalyptic number.

1005336020 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 1005336020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1139425224).

1005336020 is an abundant number, since it is smaller than the sum of its proper divisors (1273514428).

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

1005336020 is a wasteful number, since it uses less digits than its factorization.

1005336020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8940 (or 8938 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

The square root of 1005336020 is about 31707.0342353239. The cubic root of 1005336020 is about 1001.7755189999.

The spelling of 1005336020 in words is "one billion, five million, three hundred thirty-six thousand, twenty".