1322159040 has 168 divisors, whose sum is σ = 4576572000. Its totient is φ = 350337024.

The previous prime is 1322159011. The next prime is 1322159053. The reversal of 1322159040 is 409512231.

1322159040 is a `hidden beast` number, since 1 + 32 + 2 + 1 + 590 + 40 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1322158995 and 1322159013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 479586 + ... + 482334.

It is an arithmetic number, because the mean of its divisors is an integer number (27241500).

Almost surely, 2^1322159040 is an apocalyptic number.

1322159040 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 1322159040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2288286000).

1322159040 is an abundant number, since it is smaller than the sum of its proper divisors (3254412960).

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

1322159040 is a wasteful number, since it uses less digits than its factorization.

1322159040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2939 (or 2926 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 1322159040 is about 36361.5049193512. The cubic root of 1322159040 is about 1097.5590613069.

The spelling of 1322159040 in words is "one billion, three hundred twenty-two million, one hundred fifty-nine thousand, forty".