1290861828 has 36 divisors (see below), whose sum is σ = 3291898428. Its totient is φ = 426478080.

The previous prime is 1290861811. The next prime is 1290861829. The reversal of 1290861828 is 8281680921.

It is a happy number.

1290861828 is a `hidden beast` number, since 1 + 2 + 9 + 0 + 8 + 618 + 28 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 591365124 + 699496704 = 24318^2 + 26448^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (1290861829) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 154593 + ... + 162728.

It is an arithmetic number, because the mean of its divisors is an integer number (91441623).

Almost surely, 2^1290861828 is an apocalyptic number.

1290861828 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1290861828 is an abundant number, since it is smaller than the sum of its proper divisors (2001036600).

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

1290861828 is a wasteful number, since it uses less digits than its factorization.

1290861828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317444 (or 317439 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The square root of 1290861828 is about 35928.5656268101. The cubic root of 1290861828 is about 1088.8296019566.

The spelling of 1290861828 in words is "one billion, two hundred ninety million, eight hundred sixty-one thousand, eight hundred twenty-eight".