1322516160 has 560 divisors, whose sum is σ = 5549822784. Its totient is φ = 292626432.

The previous prime is 1322516159. The next prime is 1322516161. The reversal of 1322516160 is 616152231.

1322516160 is a `hidden beast` number, since 132 + 2 + 516 + 16 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1322516159) and next prime (1322516161).

It is a tau number, because it is divible by the number of its divisors (560).

It is a super-2 number, since 2×1322516160² = 3498097986922291200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1322516161) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6713182 + ... + 6713378.

Almost surely, 2^1322516160 is an apocalyptic number.

1322516160 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 1322516160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2774911392).

1322516160 is an abundant number, since it is smaller than the sum of its proper divisors (4227306624).

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

1322516160 is a wasteful number, since it uses less digits than its factorization.

1322516160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 251 counting only the distinct ones).

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

The square root of 1322516160 is about 36366.4152756358. The cubic root of 1322516160 is about 1097.6578706521.

Adding to 1322516160 its reverse (616152231), we get a palindrome (1938668391).

The spelling of 1322516160 in words is "one billion, three hundred twenty-two million, five hundred sixteen thousand, one hundred sixty".