1020704580 has 144 divisors (see below), whose sum is σ = 3692392704. Its totient is φ = 223153920.

The previous prime is 1020704579. The next prime is 1020704611. The reversal of 1020704580 is 854070201.

1020704580 is a `hidden beast` number, since 1 + 0 + 207 + 0 + 458 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11370 + ... + 46590.

It is an arithmetic number, because the mean of its divisors is an integer number (25641616).

Almost surely, 2^1020704580 is an apocalyptic number.

1020704580 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 1020704580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1846196352).

1020704580 is an abundant number, since it is smaller than the sum of its proper divisors (2671688124).

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

1020704580 is a wasteful number, since it uses less digits than its factorization.

1020704580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35266 (or 35261 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 1020704580 is about 31948.4675688835. The cubic root of 1020704580 is about 1006.8544360254.

Adding to 1020704580 its reverse (854070201), we get a palindrome (1874774781).

It can be divided in two parts, 1020 and 704580, that added together give a square (705600 = 840²).

The spelling of 1020704580 in words is "one billion, twenty million, seven hundred four thousand, five hundred eighty".