1322653320 has 256 divisors, whose sum is σ = 4578508800. Its totient is φ = 339413760.

The previous prime is 1322653309. The next prime is 1322653331. The reversal of 1322653320 is 233562231.

1322653320 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 653 + 3 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1322653309) and next prime (1322653331).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3603777 + ... + 3604143.

It is an arithmetic number, because the mean of its divisors is an integer number (17884800).

Almost surely, 2^1322653320 is an apocalyptic number.

1322653320 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 1322653320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2289254400).

1322653320 is an abundant number, since it is smaller than the sum of its proper divisors (3255855480).

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

1322653320 is a wasteful number, since it uses less digits than its factorization.

1322653320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 1322653320 is about 36368.3010326301. The cubic root of 1322653320 is about 1097.6958158845.

The spelling of 1322653320 in words is "one billion, three hundred twenty-two million, six hundred fifty-three thousand, three hundred twenty".