1020825806 has 128 divisors (see below), whose sum is σ = 2214051840. Its totient is φ = 339811200.

The previous prime is 1020825803. The next prime is 1020825811. The reversal of 1020825806 is 6085280201.

1020825806 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020825803) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1787501 + ... + 1788071.

It is an arithmetic number, because the mean of its divisors is an integer number (17297280).

Almost surely, 2^1020825806 is an apocalyptic number.

1020825806 is an abundant number, since it is smaller than the sum of its proper divisors (1193226034).

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

1020825806 is a wasteful number, since it uses less digits than its factorization.

1020825806 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670.

The product of its (nonzero) digits is 7680, while the sum is 32.

The square root of 1020825806 is about 31950.3647240528. The cubic root of 1020825806 is about 1006.8942948009.

The spelling of 1020825806 in words is "one billion, twenty million, eight hundred twenty-five thousand, eight hundred six".