1292845056 has 120 divisors (see below), whose sum is σ = 3570292320. Its totient is φ = 415629312.

The previous prime is 1292845039. The next prime is 1292845097. The reversal of 1292845056 is 6505482921.

It is a junction number, because it is equal to n+sod(n) for n = 1292844999 and 1292845017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1424955 + ... + 1425861.

It is an arithmetic number, because the mean of its divisors is an integer number (29752436).

Almost surely, 2^1292845056 is an apocalyptic number.

1292845056 is a gapful number since it is divisible by the number (16) 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 1292845056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1785146160).

1292845056 is an abundant number, since it is smaller than the sum of its proper divisors (2277447264).

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

1292845056 is an frugal number, since it uses more digits than its factorization.

1292845056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 967 (or 941 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The square root of 1292845056 is about 35956.1546331084. The cubic root of 1292845056 is about 1089.3869279176.

The spelling of 1292845056 in words is "one billion, two hundred ninety-two million, eight hundred forty-five thousand, fifty-six".