1356216960 has 512 divisors, whose sum is σ = 5358182400. Its totient is φ = 284884992.

The previous prime is 1356216959. The next prime is 1356216971. The reversal of 1356216960 is 696126531.

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, 12001864 + ... + 12001976.

It is an arithmetic number, because the mean of its divisors is an integer number (10465200).

Almost surely, 2^1356216960 is an apocalyptic number.

1356216960 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 1356216960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2679091200).

1356216960 is an abundant number, since it is smaller than the sum of its proper divisors (4001965440).

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

1356216960 is a wasteful number, since it uses less digits than its factorization.

1356216960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 39.

The square root of 1356216960 is about 36826.8510736392. The cubic root of 1356216960 is about 1106.9034057488.

The spelling of 1356216960 in words is "one billion, three hundred fifty-six million, two hundred sixteen thousand, nine hundred sixty".